DOCSLIB.ORG

Volume 28 Contemporary Mathematics

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Volume 28 Contemporary Mathematics Fluids and Plasmas: Geometry and Dynamics AMERICAII MATHEMATICAL SOCIETY VOLUME 28 http://dx.doi.org/10.1090/conm/028 CONTEMPORARY MATHEMATICS Titles in this Series Volume 1 Markov random fields and their applications, Ross Kindermann and J. Laurie Snell 2 Proceedings of the conference on integration, topology, and geometry in linear spaces, William H. Graves. Editor 3 The closed graph and P-closed graph properties in general topology, T. R. Hamlett and L. L. Herrington 4 Problems of elastic stability and vibrations, Vadim Komkov. Editor 5 Rational constructions of modules for simple Lie algebras, George B. Seligman 6 Umbral calculus and Hopf algebras, Robert Morris. Editor 7 Complex contour integral representation of cardinal spline functions, Walter Schempp 8 Ordered fields and real algebraic geometry, D. W. Dubois and T. Recio. Editors 9 Papers in algebra, analysis and statistics, R. Lidl. Editor 10 Operator algebras and K-theory, Ronald G. Douglas and Claude Schochet. Editors 11 Plane ellipticity and related problems, Robert P. Gilbert. Editor 12 Symposium on algebraic topology in honor of Jose Adem, Samuel Gitler. Editor 1l Algebraists' homage: Papers in ring theory and related topics, S. A. Amitsur. D. J. Saltman and G. B. Seligman. Editors 14 Lectures on Nielsen fixed point theory, Boju Jiang 15 Advanced analytic number theory. Part 1: Ramification theoretic methods, Carlos J. Moreno 16 Complex representations of GL(2, K) for finite fields K, llya Piatetski-Shapiro 17 Nonlinear partial differential equations, Joel A. Smoller. Editor 18 Fix~t' points and nonexpansive mappings, Robert C. Sine. Editor 19 Proceedings of the Northwestern homotopy theory conference, Haynes R. Miller and Stewart B. Priddy. Editors 20 Low dimensional topology, Samuel J. Lomonaco. Jr .. Editor Titles in this series Volume 21 Topological methods in nonlinear functional analysis, S. P. Singh. S. Thomeier. and B. Watson. Editors 22 Factorizations of b" ± 1, b = 2, 3, 5, 6, 7,10,11,12 up to high powers, John Brillhart. D. H. Lehmer. J L. Selfridge. Bryant Tuckerman. and S. S. Wagstaff. Jr. 23 Chapter 9 of Ramanujan's second notebook-Infinite series identities, transformations, and evaluations, Bruce C. Berndt and Padmini T. Joshi 24 Central extensions, Galois groups, and ideal class groups of number fields, A. Frohlich 25 Value distribution theory and its applications, Chung-Chun Yang. Editor 26 Conference in modern analysis and probability, Richard Beals. Anatole Beck. Alexandra Bellow and Arshag Hajian. Editors 27 Microlocal analysis, M. Salah Baouendi. Richard Beals and Linda Preiss Rothschild. Editors 28 Fluids and plasmas: geometry and dynamics, Jerrold E. Marsden. Editor I Volume28 Fluids and Plasmas: Geometry and Dynamics Jerrold E. Marsden1 Editor AMERICAn MATHEMATICAL SOCIETY Providence • RhOde Island EDITORIAL BOARD R. 0. Wells, Jr., Kenneth Kunen managing editor James I. Lepowsky Jeff Cheeger Johannes C. C. Nitsche Adriano M. Garsia Irving Reiner PROCEEDINGS OF THE AMS-IMS-SIAM JOINT SUMMER RESEARCH CONFERENCE IN THE MATHEMATICAL SCIENCES ON FLUIDS AND PLASMAS: GEOMETRY AND DYNAMICS HELD AT THE UNIVERSITY OF COLORADO, BOULDER JULY 17-23, 1983 These proceedings were prepared by the American Mathematical Society with partial support from the National Science Foundation Grant MCS 8218075. 1980 Mathematics Subject Classification. Primary 58Fxx, 76Exx. library of Congress Cataloging in Publication Data Main entry under title: Fluids and plasmas: Geometry and dynamics. (Contemporary mathematics, ISSN 0271·4132; v. 28) "AMS-SIAM-IMS Summer Research Conference, Boulder, Colorado, July 17-23, 1983"- lncludes bibliographies. 1. Fluid dynamics-Congresses. 2. Plasma dynamics-Congresses. 3. Differentiable dynamical systems-Congresses. 4. Geometry, Differential-Congresses. 1. Marsden, Jerrold E. II. AMS-SIAM-IMS Summer Research Conference ( 1983: Boulder, Colo.) II I. American Mathe- matical Society. IV. Society for Industrial and Applied Mathematics. V. Institute of Mathemati- cal Statistics. VI. Series: Contemporary mathematics (American Mathematical Society); v. 28. OA911.F57 1984 532'.05 84-3011 ISBN 0-8218-5028-8 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy an article for use in teaching or research. Permission is granted to quote brief passages from this pub- lication in reviews provided the customary acknowledgement of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication (including abstracts) is permitted only under license from the American Mathe- matical Society. Requests for such permission should be addressed to the Executive Director, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. The appearance of the code on the first page of an article in this volume indicates the copyright owner's consent for copying beyond that permitted by Sections 107 or 108 of the U.S. Copyright Law, provided that the fee of $1.00 plus $.25 per page for each copy be paid directly to Copyright Clearance Center, Inc. 21 Congress Street, Salem, Massachusetts 01970. This consent does not extend to other kinds of copying, such as copying for general distribution, for advertising or promotion purposes, for creating new collective works or for resale. Copyright © 1984 by the American Mathematical Society Reprinted 1988 Printed in the United States of America All rights reserved except those granted to the United States Government This volume was printed directly from author prepared copy, The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability"§ CONTENTS Introduction . vii Conference Participants xiv Part I. Geometric-Analytic Methods A.l~einstein, Stability of Poisson-Hamilton equilibria . 3 D.Holm, J.Marsden, T.Ratiu and A.Weinstein, Stability of rigid body motion using the energy-Casimir method 15 D.Holm, Stability of planar multifluid plasma equilibria by Arno 1d's method . 25 A.Kaufman* and R.Dewar, Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure ........... 51 J.Marsden, T.Ratiu and A.Weinstein, Reduction and Hamiltonian structures on duals of semidirect product Lie algebras 55 R.Montgomery, J.Marsden and T.Ratiu, Gauged Lie-Poisson structures . 101 J.Marsden,* P.Morrison and A.Weinstein, The Hamiltonian structure of the BBGKY hierarchy equations . 115 M.Grmela, Particle and bracket formulations of kinetic equations 125 J.Marsden and P.Morrison,* Noncanonical Hamiltonian field theory and reduced MHO . 133 R.Littlejohn, Geometry and guiding center motion . 151 A.Kaufman* and B.Boghosian, Lie-transform derivation of the gyro- kinetic Hamiltonian system . 169 M.Mayer, Poisson structures for relativistic systems . 177 G.Goldin, Diffeomorphism groups, semidirect products and quantum theory. 189 Part II. Analytic and Numerical Methods N.Zabusky, Contour dynamics for two dimensional flows .. 211 Y.Wan, On the nonlinear stability of circular vortex patches . 215 T.Beale* and A.Majda, Vortex methods for fluid flow in two or three dimensions .................. 221 *An asterisk indicates the author who delivered a lecture, in case of multiple authors. v vi CONTENTS P.Olver, Hamiltonian perturbation theory and water waves ... 231 S.Wollman, Results on existence and uniqueness of solutions to the Vlasov equation ................. 251 R.Glassey and W.Strauss, Remarks on collisionless plasmas 269 H.Segur, Toward a new kinetic theory for resonant triads . 281 P.Spalart, A spectral method for external viscous flows . 315 R.Miller, Forecasting the ocean's weather: numerical models for application to oceanographic data ..... 337 Part III. Bifurcation and Dynamical Systems H.Swinney, Geometry and dynamics in experiments on chaotic systems 349 J.Guckenheimer, Dimension estimates for attractors . 357 D.Mclaughlin, J.Moloney and A.Newell,* Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity . 369 J.Crawford, Hopf bifurcation and the beam-plasma instability . 377 P.Holmes, Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows 393 E.Siggia, A universal transition from quasi-periodicity to choas . 405 J.Curry* and E.Wayne, On the nonpathological behavior of Newton's method . 407 J.Scheurle, Successive bifurcations in the interaction of steady state and Hopf bifurcation 419 J.Swift, Convection in a rotating fluid layer ........ 435 INTRODUCTION The intention of this conference was to foster interaction among people working on mathematical, numerical and physical aspects of fluid and plasma dynamics. To this end, the organizing committee consisting of Jerry Marsden (Chairman), Philip Holmes and Andy r~.ajda, with Alex Chorin and Alan Weinstein as advisors, chose 27 speakers from the three sub-areas whom we felt would foster good interaction. We worried, though, that the conference would degenerate into three subconferences with spe- cialists talking to only themselves and leaving the audience bewildered. As it turned out, the opposite happened. The conference developed a sense of camaraderie and the speakers made every effort to bridge communi- cation gaps, despite the inevitable differences in taste and background needs that could not all be met. Another worry, prompted by our common experiences at numerous conferences, was that speakers, in their enthu- siasm, would run overtime. He offered a non-NSF
Load more

Recommended publications
  • January 2013 Prizes and Awards
    January 2013 Prizes and Awards 4:25 P.M., Thursday, January 10, 2013 PROGRAM SUMMARY OF AWARDS OPENING REMARKS FOR AMS Eric Friedlander, President LEVI L. CONANT PRIZE: JOHN BAEZ, JOHN HUERTA American Mathematical Society E. H. MOORE RESEARCH ARTICLE PRIZE: MICHAEL LARSEN, RICHARD PINK DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY DAVID P. ROBBINS PRIZE: ALEXANDER RAZBOROV TEACHING OF MATHEMATICS RUTH LYTTLE SATTER PRIZE IN MATHEMATICS: MARYAM MIRZAKHANI Mathematical Association of America LEROY P. STEELE PRIZE FOR LIFETIME ACHIEVEMENT: YAKOV SINAI EULER BOOK PRIZE LEROY P. STEELE PRIZE FOR MATHEMATICAL EXPOSITION: JOHN GUCKENHEIMER, PHILIP HOLMES Mathematical Association of America LEROY P. STEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH: SAHARON SHELAH LEVI L. CONANT PRIZE OSWALD VEBLEN PRIZE IN GEOMETRY: IAN AGOL, DANIEL WISE American Mathematical Society DAVID P. ROBBINS PRIZE FOR AMS-SIAM American Mathematical Society NORBERT WIENER PRIZE IN APPLIED MATHEMATICS: ANDREW J. MAJDA OSWALD VEBLEN PRIZE IN GEOMETRY FOR AMS-MAA-SIAM American Mathematical Society FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY ALICE T. SCHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN AN UNDERGRADUATE STUDENT: FAN WEI Association for Women in Mathematics FOR AWM LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION: AMY COHEN Association for Women in Mathematics M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE
    [Show full text]
  • Dhl Main.Pdf
    DISSIPATIVE HOMOCLINIC LOOPS AND RANK ONE CHAOS QIUDONG WANG AND WILLIAM OTT Abstract. We prove that when subjected to periodic forcing of the form pµ,ρ,ω(t) = µ(ρh(x,y) + sin(ωt)), certain second order systems of differential equations with dissipative homoclinic loops admit strange attractors with SRB measures for a set of forcing param- eters (µ, ρ, ω) of positive measure. Our proof applies the recent theory of rank one maps, developed by Wang and Young [30, 34] based on the analysis of strongly dissipative H´enon maps by Benedicks and Carleson [4, 5]. 1. Introduction In this paper we establish connections between a recent dynamics theory, namely the theory of rank one maps, and a classical dynamical scenario, namely periodic perturbations of homoclinic solutions. We prove that when subjected to periodic forcing of the form pµ,ρ,ω(t)= µ(ρh(x, y) + sin ωt), certain second order equations with a dissipative homoclinic saddle admit strange attractors with SRB measures for a positive measure set of forcing parameters (µ,ρ,ω). A. The theory of rank one maps. The theory of rank one maps, systematically developed by Wang and Young [30, 34], concerns the dynamics of maps with some instability in one direction of the phase space and strong contraction in all other directions of the phase space. This theory originates from the work of Jackboson [13] on the quadratic family 2 fa(x) = 1 ax and the tour de force analysis of strongly dissipative H´enon maps by Benedicks and− Carelson [5]. The theory of 1D maps with critical points has progressed dramatically over the last 30 years [19, 13, 8, 4, 28].
    [Show full text]
  • The West Math Collection
    Anaheim Meetings Oanuary 9 -13) - Page 15 Notices of the American Mathematical Society January 1985, Issue 239 Volume 32, Number 1, Pages 1-144 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to the press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and supplementary announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meeting. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society. Abstracts must be accompanied by the Sl5 processing charge. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence. Rhode Island. on or before the deadline given below for the meeting. Note that the deadline for abstracts for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcements and the list of organizers of special sessions.
    [Show full text]
  • January 2013 Prizes and Awards
    January 2013 Prizes and Awards 4:25 P.M., Thursday, January 10, 2013 PROGRAM SUMMARY OF AWARDS OPENING REMARKS FOR AMS Eric Friedlander, President LEVI L. CONANT PRIZE: JOHN BAEZ, JOHN HUERTA American Mathematical Society E. H. MOORE RESEARCH ARTICLE PRIZE: MICHAEL LARSEN, RICHARD PINK DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY DAVID P. ROBBINS PRIZE: ALEXANDER RAZBOROV TEACHING OF MATHEMATICS RUTH LYTTLE SATTER PRIZE IN MATHEMATICS: MARYAM MIRZAKHANI Mathematical Association of America LEROY P. STEELE PRIZE FOR LIFETIME ACHIEVEMENT: YAKOV SINAI EULER BOOK PRIZE LEROY P. STEELE PRIZE FOR MATHEMATICAL EXPOSITION: JOHN GUCKENHEIMER, PHILIP HOLMES Mathematical Association of America LEROY P. STEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH: SAHARON SHELAH LEVI L. CONANT PRIZE OSWALD VEBLEN PRIZE IN GEOMETRY: IAN AGOL, DANIEL WISE American Mathematical Society DAVID P. ROBBINS PRIZE FOR AMS-SIAM American Mathematical Society NORBERT WIENER PRIZE IN APPLIED MATHEMATICS: ANDREW J. MAJDA OSWALD VEBLEN PRIZE IN GEOMETRY FOR AMS-MAA-SIAM American Mathematical Society FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY ALICE T. SCHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN AN UNDERGRADUATE STUDENT: FAN WEI Association for Women in Mathematics FOR AWM LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION: AMY COHEN Association for Women in Mathematics M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE
    [Show full text]
  • The Dynamics of Legged Locomotion: Models, Analyses, and Challenges
    University of Pennsylvania ScholarlyCommons Departmental Papers (ESE) Department of Electrical & Systems Engineering 5-2-2006 The Dynamics of Legged Locomotion: Models, Analyses, and Challenges Philip Holmes Princeton University Robert J. Full University of California Daniel E. Koditschek University of Pennsylvania, [email protected] John Guckenheimer Cornell University Follow this and additional works at: https://repository.upenn.edu/ese_papers Part of the Biomechanics and Biotransport Commons Recommended Citation Philip Holmes, Robert J. Full, Daniel E. Koditschek, and John Guckenheimer, "The Dynamics of Legged Locomotion: Models, Analyses, and Challenges", . May 2006. Copyright SIAM, 2006. Reprinted in SIAM Review, Volume 48, Issue 2, 2006, pages 207-304. This paper is posted at ScholarlyCommons. https://repository.upenn.edu/ese_papers/200 For more information, please contact [email protected]. The Dynamics of Legged Locomotion: Models, Analyses, and Challenges Abstract Cheetahs and beetles run, dolphins and salmon swim, and bees and birds fly with grace and economy surpassing our technology. Evolution has shaped the breathtaking abilities of animals, leaving us the challenge of reconstructing their targets of control and mechanisms of dexterity. In this review we explore a corner of this fascinating world. We describe mathematical models for legged animal locomotion, focusing on rapidly running insects and highlighting past achievements and challenges that remain. Newtonian body–limb dynamics are most naturally formulated as piecewise-holonomic rigid body mechanical systems, whose constraints change as legs touch down or lift off. Central pattern generators and proprioceptive sensing require models of spiking neurons and simplified phase oscillator descriptions of ensembles of them. A full neuromechanical model of a running animal requires integration of these elements, along with proprioceptive feedback and models of goal-oriented sensing, planning, and learning.
    [Show full text]
  • PHILIP JOHN HOLMES: Short Curriculum Vitae and Recent Publications (Updated 06/2017)
    PHILIP JOHN HOLMES: Short Curriculum Vitae and Recent Publications (updated 06/2017) Education Oxford University; B.A. (Hons). Engineering Science: 1967. Southampton University; Ph.D. Engineering: 1974. Academic Posts since 1984 Professor of Theoretical and Applied Mechanics and Mathematics, Cornell University: 1984-1994. Sherman Fairchild Distinguished Scholar, California Institute of Technology: 1988-1989. Professeur Associ´e,Universit´ede Nice: July 1989. Charles N. Mellowes Professor of Engineering and Professor of Mathematics, Cornell University: 1992-94 Professeur Associ´e,Universit´ede Paris-Sud: June-July 1993. Professor of Mechanics and Applied Mathematics, Princeton University: 1994{; Associated Faculty in Department of Mathematics, 2002{. Director, Program in Applied and Computational Mathematics, Princeton University: 1994{97, 2010-11. Visiting Member, Institute for Advanced Study, Princeton: Spring 2003. Interim Chair, Department of Mechanical and Aerospace Engineering, Princeton University, 2006{07. Eugene Higgins Professor of Mechanical and Aerospace Engineering, Princeton University: 2008{15. Associated Faculty Member, Princeton Neuroscience Institute: 2012{. Eugene Higgins Professor of Mechanical and Aerospace Engineering Emeritus, and Senior Scholar, Princeton University: 2015{ . Major Honors and Recent Invited Lectures John Simon Guggenheim Memorial Fellow, 1993-4. Elected Fellow of the American Academy of Arts and Sciences, 1994. Erd}osVisiting Professor, Paul Erd}osMathematical Center, Budapest, Hungary, January 2000. Elected Honorary Member of the Hungarian Academy of Sciences, 2001. Plenary Speaker, SIAM 50th Anniversary Meeting, Philadelphia PA, July 2002. Plenary Speaker, International Symposium on Nonlinear Theory and its Applications (NOLTA2004), Fukuoka, Japan, December 2004. Opening Plenary Speaker, Fifth EUROMECH Nonlinear Dynamics Conference (ENOC-2005), Eindhoven University of Technology, the Netherlands, August 2005. Appointed to SIAM Visiting Lecturer Program, 2006.
    [Show full text]
  • Porter Cv012615.Pdf
    Mason A. Porter Professor of Nonlinear and Complex Systems Mathematical Institute, University of Oxford Tutorial Fellow, Somerville College Andrew Wiles Building, Radcliffe Observatory, Woodstock Road, Oxford, OX2 6GG, UK [email protected], http://people.maths.ox.ac.uk/~porterm/ +44 (0)1865 270687 [home phone], +44 (0)1865 280608 [office phone], +44 (0)1865 270515 [fax] CURRICULUM VITAE PERSONAL DATA ! Date of Birth: 2/10/76, Los Angeles, California, USA ! Nationality: United States citizen ! Languages: English, Spanish EMPLOYMENT ! 10/07–present ! Faculty, Mathematical Institute, University of Oxford ! 7/14–present: Professor of Nonlinear and Complex Systems ! 1/14–7/14: Associate Professor ! 10/07–12/13: University Lecturer ! Tutorial Fellow, Somerville College, University of Oxford ! Group affiliations within Oxford ! Faculty, Oxford Centre for Industrial and Applied Mathematics [from 10/07] ! Affiliated Faculty, Complex Agent-Based Dynamic Networks (CABDyN) Complexity Cluster [from 10/07] ! Affiliated Faculty, Centre for Nonlinear Partial Differential Equations, Mathematical Institute [from 11/07] ! Affiliated Faculty, Discrete Mathematics group, Mathematical Institute [from 10/08] ! Affiliated Faculty, Mathematical Physics group, Mathematical Institute [from 10/09] ! Affiliated Faculty, Wolfson Centre for Mathematical Biology, Mathematical Institute [from 3/11] ! Affiliated Faculty, Theoretical and Computational Neuroscience (“Neurotheory”) [from 6/14] ! External affiliations ! Research Professor [Adjunct Faculty], Mathematical, Computational, and Modeling Sciences Center; Arizona State University [9/10–present] ! Visiting Scholar, Department of Biology, School of Humanities and Sciences, Stanford University [9/14–1/15] ! 6/05–9/07 ! Postdoctoral Scholar, Center for the Physics of Information and Department of Physics, California Institute of Technology ! Advisor: Michael C. Cross (Physics) ! 8/02–5/05 ! NSF VIGRE Visiting Assistant Professor, School of Mathematics, Georgia Institute of Technology ! Advisor: Leonid A.
    [Show full text]
  • 2013 Steele Prizes
    2013 Steele Prizes The 2013 AMS Leroy P. Steele Prizes were presented few research groups were applying center mani- at the 119th Annual Meeting of the AMS in San Diego, fold reduction to physical problems, computing California, in January 2013. The Steele Prizes were normal forms, and unfolding bifurcations, but the awarded to John Guckenheimer and Philip Holmes Guckenheimer and Holmes work was the first text- for Mathematical Exposition, to Saharon Shelah for book to lay out clearly the theory for dissipative a Seminal Contribution to Research, and to Yakov dynamical systems, to separate rigorous results Sinai for Lifetime Achievement. from speculation, to begin to reunite perturba- tion methods with the geometric and topological Mathematical Exposition: John ideas of global analysis, and to provide analyses Guckenheimer and Philip Holmes of practical problems. Citation Both theoretical and applied dynamical systems remain strong research areas, with theoretical The 2013 Leroy P. Steele Prize for Mathematical Ex- research appearing in physics, engineering, and position is awarded to John Guckenheimer and Philip applied mathematics departments and applied Holmes in recognition of their book, Nonlinear Oscil- work being produced by researchers in mathemat- lations, Dynamical Systems, and Bifurcations of Vector ics departments—a healthy trend that was given Fields, Applied Mathematical Sciences, 42, Springer- substantial help by the publication of Nonlinear Verlag, New York, 1983; reprinted with revisions and Oscillations, Dynamical Systems, and Bifurcations corrections, 1990. of Vector Fields. Dynamical systems underwent a rebirth in the 1960s and 1970s with the work of mathematicians Biographical Sketches such as (in alphabetical order) Anosov, Arnold, Kol- John Guckenheimer was born in Baton Rouge, mogorov, Moser, Ruelle, Sinai, Smale, Takens, Thom, Louisiana, in 1945.
    [Show full text]
  • [email protected] Education Ph.D. In
    July 15, 2018 JULIO M. OTTINO CURRICULUM VITAE Personal US citizen1, born in La Plata, Argentina. office: 847-491-3195, e-mail: [email protected] Education Ph.D. in Chemical Engineering, University of Minnesota, 1979. Chemical Engineering Diploma, National University of La Plata, Argentina, 1974. Executive Program, Kellogg School of Management, 1995. Current Position Dean, R.R. McCormick School of Engineering and Applied Science, 2005- R.R. McCormick Institute Professor, Northwestern University, 2000- Walter P. Murphy Professor, Chemical Engineering, Northwestern University, 1991- Professor (by courtesy), Mechanical Engineering, Northwestern University, 2000- Teaching and Research Positions Co-Director, the Northwestern Institute on Complex Systems, 2004-2005. Chair, Department of Chemical Engineering, Northwestern University, 1992-2000. Professor of Chemical Engineering, Northwestern University, 1991- George T. Piercy Distinguished Professor, Department of Chemical Engineering and Materials Sciences, University of Minnesota, 1998. Senior Research Fellow, Center for Turbulence Research, Stanford University, 1990. Professor, Department of Chemical Engineering, University of Massachusetts, Amherst, 1986-1991. Chevron Visiting Associate Professor of Chemical Engineering, California Institute of Technology, 1986. Associate Professor, Department of Chemical Engineering, University of Massachusetts, Amherst, 1983-1986. Adjunct Professor, Department of Polymer Science and Engineering, University of Massachusetts, Amherst, 1979-1991.
    [Show full text]
  • (Updated 09/2018) Education Oxford University; BA
    PHILIP JOHN HOLMES: Short Curriculum Vitae and Recent Publications (updated 09/2018) Education Oxford University; B.A. (Hons). Engineering Science: 1967. Southampton University; Ph.D. Engineering: 1974. Academic Posts since 1984 Professor of Theoretical and Applied Mechanics and Mathematics, Cornell University: 1984-1994. Sherman Fairchild Distinguished Scholar, California Institute of Technology: 1988-1989. Professeur Associ´e,Universit´ede Nice: July 1989. Charles N. Mellowes Professor of Engineering and Professor of Mathematics, Cornell University: 1992{94 Professeur Associ´e,Universit´ede Paris-Sud: June{July 1993. Professor of Mechanics and Applied Mathematics, Princeton University: 1994{; Associated Faculty in Department of Mathematics, 2002{. Director, Program in Applied and Computational Mathematics, Princeton University: 1994{97, 2010{11. Visiting Member, Institute for Advanced Study, Princeton: Spring 2003. Interim Chair, Department of Mechanical and Aerospace Engineering, Princeton University, 2006{07. Eugene Higgins Professor of Mechanical and Aerospace Engineering, Princeton University: 2008{15. Associated Faculty Member, Princeton Neuroscience Institute: 2012{. Eugene Higgins Professor of Mechanical and Aerospace Engineering Emeritus, and Senior Scholar, Princeton University: 2015{ . Major Honors and Recent Invited Lectures John Simon Guggenheim Memorial Fellow, 1993{4. Elected Fellow of the American Academy of Arts and Sciences, 1994. Erd}osVisiting Professor, Paul Erd}osMathematical Center, Budapest, Hungary, January 2000. Elected Honorary Member of the Hungarian Academy of Sciences, 2001. Plenary Speaker, SIAM 50th Anniversary Meeting, Philadelphia PA, July 2002. Plenary Speaker, International Symposium on Nonlinear Theory and its Applications (NOLTA2004), Fukuoka, Japan, December 2004. Opening Plenary Speaker, Fifth EUROMECH Nonlinear Dynamics Conference (ENOC-2005), Eindhoven University of Technology, the Netherlands, August 2005. Appointed to SIAM Visiting Lecturer Program, 2006.
    [Show full text]
  • Curriculum Vitae
    Mason A. Porter University Lecturer, Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute Tutorial Fellow, Somerville College University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, UK [email protected], http://people.maths.ox.ac.uk/~porterm/ +44 (0)1865 270687 [home phone], +44 (0)1865 280608 [office phone], +44 (0)1865 270515 [office fax] CURRICULUM VITAE PERSONAL DATA . Date of Birth: 2/10/76, Los Angeles, California, United States . Nationality: United States citizen . Languages: English, Spanish EMPLOYMENT . 10/07—present . University Lecturer, Mathematical Institute, University of Oxford . Tutorial Fellow, Somerville College, University of Oxford . Group affiliations within Oxford . Faculty, Oxford Centre for Industrial and Applied Mathematics [from 10/07] . Affiliated Faculty, Complex Agent-Based Dynamic Networks (CABDyN) Complexity Cluster [from 10/07] . Affiliated Faculty, Centre for Nonlinear Partial Differential Equations, Mathematical Institute [11/07—12/11] . Affiliated Faculty, Discrete Mathematics group, Mathematical Institute [from 10/08] . Affiliated Faculty, Mathematical Physics group, Mathematical Institute [from 10/09] . Affiliated Faculty, Centre for Mathematical Biology, Mathematical Institute [from 3/11] . External affiliations . Research Professor; Mathematical, Computational, and Modeling Sciences Center; Arizona State University [from 9/10] . 6/05—9/07 . Postdoctoral Scholar, Center for the Physics of Information and Department of Physics, California Institute of Technology . Advisor: Michael C. Cross (Physics) . 8/02—5/05 . NSF VIGRE Visiting Assistant Professor, Mathematics, Georgia Institute of Technology . Advisor: Leonid A. Bunimovich (Mathematics) . Research Associate, Center for Nonlinear Science, Physics, Georgia Institute of Technology . Advisor: Predrag Cvitanovic (Physics) . 1/03—5/03 . Postdoctoral Scholar, Semiclassical Analysis program, Mathematical Sciences Research Institute, Berkeley CA EDUCATION .
    [Show full text]
  • Curriculum Vitae
    Mason A. Porter University Lecturer, Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute Tutorial Fellow, Somerville College University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, UK [email protected], http://people.maths.ox.ac.uk/~porterm/ +44 (0)1865 270687 [home phone], +44 (0)1865 280608 [office phone], +44 (0)1865 270515 [office fax] CURRICULUM VITAE PERSONAL DATA . Date of Birth: 2/10/76, Los Angeles, California, United States . Nationality: United States citizen . Languages: English, Spanish EMPLOYMENT . 10/07—present . University Lecturer, Mathematical Institute, University of Oxford . Tutorial Fellow, Somerville College, University of Oxford . Group affiliations within Oxford . Faculty, Oxford Centre for Industrial and Applied Mathematics [from 10/07] . Affiliated Faculty, Complex Agent-Based Dynamic Networks (CABDyN) Complexity Cluster [from 10/07] . Affiliated Faculty, Centre for Nonlinear Partial Differential Equations, Mathematical Institute [11/07—12/11] . Affiliated Faculty, Discrete Mathematics group, Mathematical Institute [from 10/08] . Affiliated Faculty, Mathematical Physics group, Mathematical Institute [from 10/09] . Affiliated Faculty, Centre for Mathematical Biology, Mathematical Institute [from 3/11] . External affiliations . Research Professor; Mathematical, Computational, and Modeling Sciences Center; Arizona State University [from 9/10] . 6/05—9/07 . Postdoctoral Scholar, Center for the Physics of Information and Department of Physics, California Institute of Technology . Advisor: Michael C. Cross (Physics) . 8/02—5/05 . NSF VIGRE Visiting Assistant Professor, Mathematics, Georgia Institute of Technology . Advisor: Leonid A. Bunimovich (Mathematics) . Research Associate, Center for Nonlinear Science, Physics, Georgia Institute of Technology . Advisor: Predrag Cvitanovic (Physics) . 1/03—5/03 . Postdoctoral Scholar, Semiclassical Analysis program, Mathematical Sciences Research Institute, Berkeley CA EDUCATION .
    [Show full text]