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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. -
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 -
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]. -
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. -
THE 64TH ANNUAL DFD MEETING November 20-22, 2011 Baltimore, Maryland
FALL 2011 Division of Fluid Dynamics NewsletterDFD News A Division of the American Physical Society THE 64TH ANNUAL DFD MEETING November 20-22, 2011 Baltimore, Maryland Photo courtesy of Visit Baltimore The 64th Annual Meeting of the American Physical Convention Center is within walking distance of IN THIS ISSUE Society's Division of Fluid Dynamics (DFD) will the famous National Aquarium, the inner harbor be held in Baltimore, Maryland, from November area with shops and restaurants, and many 20th to 22nd, 2011. The meeting will be hosted attractions: the 1854 USS Constellation, the by the Johns Hopkins University, the University 1945 submarine Torsk, the Baltimore & Ohio 1 64th Annual DFD of Maryland, the University of Delaware and the Railroad Museum, the Walters Art Museum, the Meeting: Baltimore, MD George Washington University, with participation Visionary Art Museum, the Edgar Allan Poe tomb by Howard University, the US Naval Academy and others. The historic Fort McHenry and the 4 Candidates for APS/DFD Executive Commitees and the Naval Research Laboratory. Baltimore Museum of Art are also within easy reach. Meeting Venue 7 Modifications to the APS/ See http://baltimore.org/ for further The meeting will be held at the Baltimore Con- DFD Bylaws information. vention Center within very easy walking distance 8 In Memoriam: from all the conference hotels. Oral presenta- Housing and Meeting Registration Daniel D. Joseph tions will be held in rooms on the 3rd and 4th Registration for the meeting and housing infor- levels of the Convention Center. Exhibits, the mation are available through the meeting web 10 In Memoriam: Hassan Aref Gallery of Fluid Motion, and refreshment breaks site http://www.dfd2011.jhu.edu (also acces- will be on the 4th level. -
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 -
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. -
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. -
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. -
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. -
Spring/Summer 2020 Newsletter
SPRING/SUMMER 2020 Division of Fluid Dynamics Newsletter A Division of the American Physical Society News HIOAGO November 22-24 Based on public health guidance and Governor Letter from the Chair Pritzker’s Restore Illinois plan, it appears that large (>50) gatherings will not be possible in the state of Illinois until there is a vaccine or Welcome to the Spring/ equivalent widely available treatment. The DFD Summer 2020 newsletter Executive Committee has therefore decided to of the Division of Fluid cancel the “in person” Annual Meeting in Dynamics. I hope you are Chicago this year to ensure the safety and 1 Key Dates all staying safe and well, well-being of our community and move to a and appreciate the oppor- streamlined online meeting format. 7 2019 Meeting tunity to share updates on Highlights the DFD and our Annual As we move to this virtual format there are Meeting in these extraor- several key goals that will guide us in planning. dinary times. The DFD Minami Yoda 8 APS/DFD Officers Executive Committee, the 2019-20 Chair Inclusion. Accept all abstracts, per our usual APS Division of Fluid meeting in accordance with our long-standing local organizing commit- Dynamics tee, and the special ad tradition, provide the community a point of The articles in this issue represent hoc committee charged with evaluating issues interaction this Fall, and offer students in fluid the views of the Division of Fluid mechanics a venue for their work. Dynamics (DFD) publication relating to COVID 19, have worked closely with committee and are not necessarily APS to monitor the COVID-19 pandemic in the those of individual DFD members United States and worldwide. -
(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.