DOCSLIB.ORG

Recurrence Plot Workshop

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Recurrence Plot Workshop R R R R R R R R R R R R R R R R R R R R R R R R Potsdam R September 22-24, 2005 R R R R R R R R R R R R R R R R R R 1st R R R R R R R R R R R RECURRENCE PLOT R R WORKSHOP R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R R Programme RECURRENCE PLOT WORKSHOP Satellite Meeting of the 13th International IEEE Workshop on Nonlinear Dynamics of Electronic Systems (NDES2005) Potsdam, September 22nd–24th, 2005 2 Scientific and Organisational Committee Norbert Marwan1 M. Carmen Romano1 Marco Thiel1 Joseph Zbilut2 Jurgen¨ Kurths1 1 Nonlinear Dynamics Group, University of Potsdam 2 Department of Molecular Biophysics & Physiology, Rush University Chicago Aims This recurrence plot workshop is the first meeting having recurrence plot methods and applications as exclusive subjects. The aim is to bring together the community working on or using recurrence plot based methods, to share knowledge about recurrence plots and to present new developments and theoretical aspects. Moreover, this meeting will fathom future potentials of recurrence plots in investigating spatio-temporal data, image analysis, statistical tests etc. The meeting will push the publicity of recurrence plots in the scientific community and highly encourage scientists to develop new recurrence plot based techniques and to apply them in various scientific fields. Practical Workshop In the workshop, several approaches of analysing recurrences can be practically applied to own data under supervision. Instructive presentations introduce in the RQA software, CRP toolbox and software for calculation of dynamical invariants. A comprehensive RQA, study of interrelations, synchronisations or dynamical invariants can be provided. Note: The practical workshop will take place at Campus Golm Internet Access During the NDES meeting and the RP workshop, access to the Internet will be available in the PC Pool (Room 4.23) in building 19 in the lunch breaks. 3 Social Event At Friday evening a barbecue will be prepared besides the Instituts building. Everyone is invited to participate, but has to register for this event on the registration desk. Location The workshop takes place in Potsdam, a former residencial site of the prussians em- perors. The university campus Neues Palais is partly located in the former royal palace, directly at the famous Sanssouci Park. 4 Lectures University of Potsdam, Campus Neues Palais, Building 19, Room 4.15 Practical Workshop University of Potsdam, Campus Golm, Building 25, PC Pools/ CIP Pools 1a, 1b and 2a There is a very good bus connection be- tween Campus Neues Palais and Campus Golm going every ten minutes. Take bus number 606 (direct connection) or 605 (small detour, 5 min. longer than bus 606) from bus station Lindenallee to bus station Golm Bahnhof. 5 Bus timetable (Hotel . University) Potsdam, Sonnenlandstr. > Potsdam, Neues Palais b y Potsdam, Sonnenlandstr. Gultig¨ von 18.09.2005 bis 25.09.2005 Fahrt Dauer Richtung Bus 695 ca. 4 Min. S Potsdam Hauptbahnhof b Bus N18 ca. 3 Min. Golm (PM), Bahnhof b v Kateg. Montag - Freitag Samstag Sonntag 01 00 00 00 b 02 00 00 00 b 03 00 00 00 b 04 00a 00 00 b 06 01 21 41 01 21 41 01 21 41 b 07 01 21 41 01 21 41 01 21 41 b 08 01 21 41 01 21 41 01 21 41 b 09 01 21 41 01 21 41 01 21 41 b 10 01 21 41 01 21 41 01 21 41 b 11 01 21 41 01 21 41 01 21 41 b 12 01 21 41 01 21 41 01 21 41 b 13 01 21 41 01 21 41 01 21 41 b 14 01 21 41 01 21 41 01 21 41 b 15 01 21 41 01 21 41 01 21 41 b 16 01 21 41 01 21 41 01 21 41 b 17 01 21 41 01 21 41 01 21 41 b 18 01 21 41 01 21 41 01 21 41 b 19 01 21 41 01 21 41 01 21 41 b 20 01 21 41 01 21 41 01 21 41 b 21 01 01 01 b Zeichenerklarung¨ a = Di - Fr Alle Angaben ohne Gewahr.¨ Erstellt am 12.09.05 um 15:37. Informationen zum Kurzstreckentarif erhalten Sie an der Haltestelle oder beim Fahrer c HaCon Ingenieurgesellschaft mbH / IVU Traffic Technologies AG. 6 Bus timetable (University . Hotel) Potsdam, Neues Palais > Potsdam, Sonnenlandstr. b y Potsdam, Neues Palais Gultig¨ von 18.09.2005 bis 25.09.2005 Fahrt Dauer Richtung Bus 695 ca. 3 Min. Potsdam, Bahnhof Pirschheide b Bus N18 ca. 4 Min. S Potsdam Hauptbahnhof b v Kateg. Montag - Freitag Samstag Sonntag 06 16 36 56 16 36 56 16 36 56 b 07 16 36 56 16 36 56 16 36 56 b 08 16 36 56 16 36 56 16 36 56 b 09 16 36 56 16 36 56 16 36 56 b 10 16 36 56 16 36 56 16 36 56 b 11 16 36 56 16 36 56 16 36 56 b 12 16 36 56 16 36 56 16 36 56 b 13 16 36 56 16 36 56 16 36 56 b 14 16 36 56 16 36 56 16 36 56 b 15 16 36 56 16 36 56 16 36 56 b 16 16 36 56 16 36 56 16 36 56 b 17 16 36 56 16 36 56 16 36 56 b 18 16 36 56 16 36 56 16 36 56 b 19 16 36 56 16 36 56 16 36 56 b 20 16 36 16 36 16 36 b 00 54 54 54 b 01 54 54 54 b 02 54 54 54 b 03 54 54 54 b 05 56 56 56 b Alle Angaben ohne Gewahr.¨ Erstellt am 12.09.05 um 15:38. Informationen zum Kurzstreckentarif erhalten Sie an der Haltestelle oder beim Fahrer c HaCon Ingenieurgesellschaft mbH / IVU Traffic Technologies AG. 7 Bus timetable (Campus Neues Palais . Campus Golm) Potsdam, Lindenallee > Golm (PM), Bahnhof b y Potsdam, Lindenallee Gultig¨ von 23.09.2005 bis 23.09.2005 Fahrt Dauer Richtung Bus 605 ca. 11 Min. Golm (PM), Bahnhof b Bus 606 ca. 10 Min. Golm (PM), Max-Planck-Campus b Bus N18 ca. 7 Min. Golm (PM), Bahnhof b v Kateg. Montag - Freitag 04 04 49 b 05 22 28 51 52 b 06 11 22 34 42 51 b 07 02 111 22 31 42 51 b 08 02 111 22 31 42 51 b 09 02 11 22 31 42 51 b 10 02 11 22 31 42 51 b 11 02 11 22 31 42 51 b 12 02 11 22 31 42 51 b 13 02 11 22 31 42 51 b 14 02 11 22 31 42 51 b 15 02 11 22 31 42 51 b 16 02 11 22 31 42 51 b 17 02 11 22 31 42 51 b 18 02 11 22 31 42 511 58 b 19 28 58 b 20 18 28 581 b 21 28 58 b 22 28 b 23 28 b 00 28 b 01 04 b 02 04 b 03 04 b Richtungen: 1 = Neu Toplitz,¨ Wendeplatz Alle Angaben ohne Gewahr.¨ Erstellt am 12.09.05 um 16:41. Informationen zum Kurzstreckentarif erhalten Sie an der Haltestelle oder beim Fahrer c HaCon Ingenieurgesellschaft mbH / IVU Traffic Technologies AG. 8 Bus timetable (Campus Golm . Campus Neues Palais) Golm (PM), Bahnhof > Potsdam, Neues Palais b y Golm (PM), Bahnhof Gultig¨ von 23.09.2005 bis 23.09.2005 Fahrt Dauer Richtung Bus 605 ca. 11 Min. S Potsdam Hauptbahnhof b Bus 606 ca. 10 - 16 Min. S Potsdam Hauptbahnhof b Bus N18 ca. 8 Min. S Potsdam Hauptbahnhof b v Kateg. Montag - Freitag 05 12 45 b 06 05 15 25 45 55 b 07 05 14 15 25 35 45 55 b 08 05 15 25 35 45 55 b 09 05 16 25 35 45 55 b 10 05 15 25 35 45 55 b 11 05 15 25 35 45 55 b 12 05 15 25 35 45 55 b 13 05 15 25 35 44 45 53 b 14 05 13 25 33 40 53 b 15 05 13 25 33 44 45 53 b 16 05 13 25 33 45 53 b 17 05 13 25 33 44 45 53 b 18 05 13 25 35 45 55 b 19 11 25 41 55 b 20 11 41 48 b 21 41 52 b 22 22 47 b 23 47 b 00 46 b 01 46 b 02 46 b 03 46 b 04 40 b Alle Angaben ohne Gewahr.¨ Erstellt am 12.09.05 um 15:36. Informationen zum Kurzstreckentarif erhalten Sie an der Haltestelle oder beim Fahrer c HaCon Ingenieurgesellschaft mbH / IVU Traffic Technologies AG. 9 Programme Thursday, September 22nd 13:30 Registration Introduction and Theory 14:15 M. Thiel: Welcome & On Recurrences 14:30 J. P. Zbilut: Recurrence Quantification Analysis: Introduction and Historical Context 15:00 Ch.
Load more

Recommended publications
  • Recurrence Plots for the Analysis of Complex Systems Norbert Marwan∗, M
    Physics Reports 438 (2007) 237–329 www.elsevier.com/locate/physrep Recurrence plots for the analysis of complex systems Norbert Marwan∗, M. Carmen Romano, Marco Thiel, Jürgen Kurths Nonlinear Dynamics Group, Institute of Physics, University of Potsdam, Potsdam 14415, Germany Accepted 3 November 2006 Available online 12 January 2007 editor: I. Procaccia Abstract Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system’s behaviour in phase space. A powerful tool for their visualisation and analysis called recurrence plot was introduced in the late 1980’s. This report is a comprehensive overview covering recurrence based methods and their applications with an emphasis on recent developments. After a brief outline of the theory of recurrences, the basic idea of the recurrence plot with its variations is presented. This includes the quantification of recurrence plots, like the recurrence quantification analysis, which is highly effective to detect, e. g., transitions in the dynamics of systems from time series. A main point is how to link recurrences to dynamical invariants and unstable periodic orbits. This and further evidence suggest that recurrences contain all relevant information about a system’s behaviour. As the respective phase spaces of two systems change due to coupling, recurrence plots allow studying and quantifying their interaction. This fact also provides us with a sensitive tool for the study of synchronisation of complex systems. In the last part of the report several applications of recurrence plots in economy, physiology, neuroscience, earth sciences, astrophysics and engineering are shown. The aim of this work is to provide the readers with the know how for the application of recurrence plot based methods in their own field of research.
    [Show full text]
  • Correlated Brownian Motion and Diffusion of Defects in Spatially Extended Chaotic Systems
    Correlated Brownian motion and diffusion of defects in spatially extended chaotic systems Cite as: Chaos 29, 071104 (2019); https://doi.org/10.1063/1.5113783 Submitted: 07 June 2019 . Accepted: 29 June 2019 . Published Online: 16 July 2019 S. T. da Silva, T. L. Prado, S. R. Lopes , and R. L. Viana ARTICLES YOU MAY BE INTERESTED IN Intricate features in the lifetime and deposition of atmospheric aerosol particles Chaos: An Interdisciplinary Journal of Nonlinear Science 29, 071103 (2019); https:// doi.org/10.1063/1.5110385 Non-adiabatic membrane voltage fluctuations driven by two ligand-gated ion channels Chaos: An Interdisciplinary Journal of Nonlinear Science 29, 073108 (2019); https:// doi.org/10.1063/1.5096303 Symmetry induced group consensus Chaos: An Interdisciplinary Journal of Nonlinear Science 29, 073101 (2019); https:// doi.org/10.1063/1.5098335 Chaos 29, 071104 (2019); https://doi.org/10.1063/1.5113783 29, 071104 © 2019 Author(s). Chaos ARTICLE scitation.org/journal/cha Correlated Brownian motion and diffusion of defects in spatially extended chaotic systems Cite as: Chaos 29, 071104 (2019); doi: 10.1063/1.5113783 Submitted: 7 June 2019 · Accepted: 29 June 2019 · Published Online: 16 July 2019 View Online Export Citation CrossMark S. T. da Silva, T. L. Prado, S. R. Lopes, and R. L. Vianaa) AFFILIATIONS Departament of Physics, Federal University of Paraná, 81531-990 Curitiba, Paraná, Brazil a)Author to whom correspondence should be addressed: viana@fisica.ufpr.br ABSTRACT One of the spatiotemporal patterns exhibited by coupled map lattices with nearest-neighbor coupling is the appearance of chaotic defects, which are spatially localized regions of chaotic dynamics with a particlelike behavior.
    [Show full text]
  • Ulrike Schlägel Current Position Education Past Research Positions
    Ulrike Schlägel Affiliation: University of Potsdam Institute of Biochemistry and Biology Am Mühlenberg 3 14476 Potsdam, Germany Contact: office: +49 331 977 6263 mobile: +49 176 8065 2385 e-mail: [email protected] Current position 2021–present Junior research group leader (DFG Emmy Noether Programme) University of Potsdam, Institute of Biochemistry and Biology, Germany Education 2015 Ph.D. in Applied Mathematics University of Alberta, Edmonton, Canada Thesis: “Models on the move: memory and temporal discretization in animal movement” 2008 Diplom in Mathematics, with distinction Bielefeld University, Bielefeld, Germany Thesis: “Deterministic recombination-selection dynamics” 2005–2006 ERASMUS1 exchange University of Edinburgh, UK, 09/2005–05/2006 Past research positions 2015–2020 Postdoctoral researcher, Research Training Group “BioMove” (DFG-GRK 2118/1) University of Potsdam, Institute of Biochemistry and Biology, Germany 2015 Postdoctoral fellow (DAAD Returning Scientists program – Rückkehrstipendium) Senckenberg Biodiversity and Climate Research Centre, Frankfurt, and Department of Biological Sciences, Goethe University Frankfurt, Germany, 06–09/2015 2009 Research assistant Research Centre for Mathematical Modelling, Bielefeld University, Bielefeld, Germany, 01–06/2009 1European Action Scheme for the Mobility of University Students Curriculum vitae page 2 of 5 Ulrike Schlägel Publications (selection) 5. Schlägel UE, Grimm V, Blaum N, Colangeli P, Dammhahn M, Eccard J, Hausmann SL, Herde A, Hofer H, Joshi J, Kramer-Schadt S, Litwin M, Lozada-Gobilard SD, Müller MEH, Müller T, Nathan R, Petermann JS, Pirhofer-Walzl K, Radchuk V, Rillig MC, Roeleke M, Schäfer M, Scherer C, Schiro G, Scholz C, Teckentrup L, Tiedemann R, Ullmann W, Voigt C, Weithoff G & Jelsch F (2020) Movement-mediated community assembly and coexistence.
    [Show full text]
  • Application Form
    APPLICATION FORM for admission to the University of Potsdam as a program student - without obtaining a degree Please fix one Please fill out in block letters or by computer and print. passport I apply to enrol in photo here Winter semester 20__ / 20__ and include Application deadline: July 15 another one Summer semester 20__ ( 3 x 4 cm ) Application deadline: January 15 PERSONAL DATA Family name(s) - as stated in your passport or identity card Given name(s) - as stated in your passport or identity card Date of birth (Day – Month – Year) Place of birth Country of birth Country of Citizenship - please specify all if more than one Sex male female PROGRAM DATA Please cross off. Erasmus DAAD InWEnt Fulbright DHF / UFA Free Mover EAP University Other - Please specify institution Partnership granting the stipend: HOW LONG DO YOU PLAN TO STAY AT THE UNIVERSITY OF POTSDAM? 1 Semester From _________________________ Till ______________________________ 2 Semesters (Day – Month – Year) (Day – Month – Year) BEARBEITUNGSVERMERKE To be filled out by the staff of the University of Potsdam. Matrikel-Nummer: Koordinator: Info-Brief: Photos: Nominierung: UPrepare: DK-Antrag: DK-Teilnahme: LA: LA zurück: HZB: Tandem: AE bis: KV bis: 1 CURRENT ADDRESS This address is valid until (Day – Month – Year) c/o Street, House number, Apartment number Postal code City State/ Country Telephone number (Country code – City code – Phone number) E-mail-address PERMANENT ADDRESS Please fill out only if different from current address c/o Street, House number, Apartment number Postal code City State/ Country Telephone number (Country code – City code – Phone number) E-mail-address HOME UNIVERSITY Name of your home university Contact person for exchange students at your home university E-mail-address of the contact person How many semesters did you study at your home university until date of application? 2 SUBJECTS PLANNED TO STUDY AT THE UNIVERSITY OF POTSDAM / FIELD OF RESEARCH Enrollment is possible in 2 subjects at maximum.
    [Show full text]
  • First Announcement 67
    th First Announcement 67 Annual Meeting of the International Committee for Coal and Organic Petrology (ICCP) Held at Helmholtz Centre Potsdam German Research Centre for Geosciences - GFZ Sponsored by: Potsdam, Germany September 5-11, 2015, Potsdam, Germany On behalf of the Organizing Committee you are invited to attend the 67th Annual Meeting of the International Committee for Coal Welcome and Organic Petrology (ICCP). The meeting is organisied and hosted by the Helmholtz-Zentrum Potsdam, Deutsches GeoFor- schungsZentrum GFZ. Meeting Venue The 67th Annual Meeting of the International Committee for Coal and Organic Petrology will be hosted by the Helmholtz-Zentrum Potsdam, Deutsches GeoForschungsZentrum GFZ in Potsdam, Germany, September 5 -11, 2015. The meeting venue is Building H at the Telegrafenberg in Pots- dam. Prior to the meeting, an ICCP Training Course „Organic Petrology in Industrial Applications“ will be organized. Potsdam The city of Potsdam directly borders the German capital Berlin and is part of the Berlin/Branden- burg Metropolitan Region. Potsdam is the capi- tal of the German Federal State of Brandenburg and has about 160.000 inhabitants. It is situa- ted at the river Havel. Potsdam was a residence of the Prussian kings and the German Kaiser, until 1918. Around the city there are a series of interconnected lakes and cultural landmarks, in particular the parks and palaces of Sanssouci, the largest World He- ritage Site in Germany. The Potsdam Conference, the major Post-World War II conference between the victorious Allies, was held at another palace in the area, the Ce- cilienhof. Babelsberg, in the south-eastern part of Pots- dam, was a major film production studio before the war and has enjoyed success as a major cen- ter of European film production since the fall of the Berlin Wall.
    [Show full text]
  • Recurrence Quantification of Fractal Structures
    METHODS ARTICLE published: 01 October 2012 doi: 10.3389/fphys.2012.00382 Recurrence quantification of fractal structures Charles L. Webber Jr.* Department of Cell and Molecular Physiology, Stritch School of Medicine, Loyola University Chicago Health Sciences Division, Maywood, IL, USA Edited by: By definition, fractal structures possess recurrent patterns. At different levels repeating Michael A. Riley, University of patterns can be visualized at higher magnifications. The purpose of this chapter is three- Cincinnati, USA fold. First, general characteristics of dynamical systems are addressed from a theoretical Reviewed by: Rick Dale, University of California mathematical perspective. Second, qualitative and quantitative recurrence analyses are Merced, USA reviewed in brief, but the reader is directed to other sources for explicit details. Third, Adam Kiefer, Brown University, USA example mathematical systems that generate strange attractors are explicitly defined, giv- *Correspondence: ing the reader the ability to reproduce the rich dynamics of continuous chaotic flows or Charles L. Webber Jr., Department of discrete chaotic iterations. The challenge is then posited for the reader to study for them- Cell and Molecular Physiology, Stritch School of Medicine, Loyola University selves the recurrent structuring of these different dynamics. With a firm appreciation of the Chicago Health Sciences Division, power of recurrence analysis, the reader will be prepared to turn their sights on real-world 2160 South First Avenue, Maywood, systems (physiological, psychological, mechanical, etc.). IL 60153-3328, USA. e-mail: [email protected] Keywords: dynamical systems, recurrence analysis, mathematical fractals, homeodynamics, dimensionality DYNAMICAL SYSTEMS IN N-DIMENSIONAL SPACE are attracted to so-called constant or static values compatible with HOMEOSTASIS VERSUS HOMEODYNAMICS life.
    [Show full text]
  • Stochastic Analysis of Recurrence Plots with Applications to the Detection of Deterministic Signals
    Stochastic analysis of recurrence plots with applications to the detection of deterministic signals Gustavo K. Rohde,∗yJonathan M. Nichols, Bryan M. Dissinger, Frank Bucholtz Naval Research Laboratory, Washington, DC September 17, 2007 Abstract Recurrence plots have been widely used for a variety of purposes such as analyzing dy- namical systems, denoising, as well as detection of deterministic signals embedded in noise. Though it has been postulated previously that recurrence plots contain time correlation in- formation here we make the relationship between unthresholded recurrence plots and the covariance of a random process more precise. Computations using examples from harmonic processes, autoregressive models, and outputs from nonlinear systems are shown to illustrate this relationship. Finally, the use of recurrence plots for detection of deterministic signals in the presence of noise is investigated and compared to traditional signal detection meth- ods based on the likelihood ratio test. Results using simulated data show that detectors based on certain statistics derived from recurrence plots are sub-optimal when compared to well-known detectors based on the likelihood ratio. Keywords: Recurrence plots, stochastic processes, detection PACS codes: 05.45.Tp, 02.50.Fz ∗Currently at Center for Bioimage Informatics, Biomedical Engineering Department, Carnegie Mellon University. yCorresponding author: HH C 122, Center for Bioimage Informatics, Biomedical Engineering Department, Carnegie Mellon University. 5000 Forbes Ave., Pittsburgh, PA. 15213. Email: [email protected] 1 1 Introduction Since its introduction by Eckmann and Ruelle [1] the recurrence plot has emerged as a useful tool in the analysis of nonlinear, non-stationary time series. As the name suggests, a recurrence plot provides a graphical picture of the times at which a process will return (recur) to a given state.
    [Show full text]
  • DIFFERENCE EQUATION of LORENZ SYSTEM Wanqing Song1
    International Journal of Pure and Applied Mathematics Volume 83 No. 1 2013, 101-110 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu AP doi: http://dx.doi.org/10.12732/ijpam.v83i1.9 ijpam.eu DIFFERENCE EQUATION OF LORENZ SYSTEM Wanqing Song1 §, Jianru Liang2 1,2College of Electronic and Electrical Engineering Shanghai University of Engineering Science Shanghai, 201620, P.R. CHINA Abstract: This paper uses difference equation to explore some of the more obvious properties of the Lorenz equation. We will investigate changes in the behavior of solutions of the Lorenz equation as the parameter r is varied. A trajectory in phase space is analyzed when iterative equation is magnified. The distance between two states i and j in the phase space is described by recurrence plots which may reveal the motion feature of chaos system trajectory with time change. AMS Subject Classification: 65P20 Key Words: discrete Lorenz, phase space trajectories, recurrence plot 1. Introduction The Lorenz equation is a model of thermally induced fluid convection in the atmosphere and published [1, 2] by E.N Lorenz (an atmospheric scientist) of M.I.T. in 1963. In Lorenz’s mathematical model of convection, three state vari- ables are used (x, y, z). they are not spatial variables but are more abstract. The variable x is proportional to the amplitude of the fluid velocity circula- tion in the fluid ring, positive representing clockwise and negative representing counterclockwise motion. The variable y is temperature difference between up c 2013 Academic Publications, Ltd. Received: October 23, 2012 url: www.acadpubl.eu §Correspondence author 102 W.
    [Show full text]
  • Math Morphing Proximate and Evolutionary Mechanisms
    Curriculum Units by Fellows of the Yale-New Haven Teachers Institute 2009 Volume V: Evolutionary Medicine Math Morphing Proximate and Evolutionary Mechanisms Curriculum Unit 09.05.09 by Kenneth William Spinka Introduction Background Essential Questions Lesson Plans Website Student Resources Glossary Of Terms Bibliography Appendix Introduction An important theoretical development was Nikolaas Tinbergen's distinction made originally in ethology between evolutionary and proximate mechanisms; Randolph M. Nesse and George C. Williams summarize its relevance to medicine: All biological traits need two kinds of explanation: proximate and evolutionary. The proximate explanation for a disease describes what is wrong in the bodily mechanism of individuals affected Curriculum Unit 09.05.09 1 of 27 by it. An evolutionary explanation is completely different. Instead of explaining why people are different, it explains why we are all the same in ways that leave us vulnerable to disease. Why do we all have wisdom teeth, an appendix, and cells that if triggered can rampantly multiply out of control? [1] A fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity. The term was coined by Beno?t Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion. http://www.kwsi.com/ynhti2009/image01.html A fractal often has the following features: 1. It has a fine structure at arbitrarily small scales.
    [Show full text]
  • Doctoral Degree Regulations of the Faculty of Arts at the University Of
    This English version is a non-official translation for information purpose. Only the German version published in the official notices of the University of Potsdam is legally binding. Doctoral Degree Regulations § 17 Vollzug der Promotion/Doctoral Certificate of the Faculty of Arts § 18 Ungültigkeit der Promotion/Invalidity of Doc- toral Degree at the University of Potsdam § 19 Entziehung des Doktorgrades/Withdrawal of Doctoral Degree 1 of 23 June 2005 § 20 Besondere Bestimmungen für die Promotion in gemeinsamer Betreuung mit einer ausländi- as amended by the Second Amendment schen Fakultät/Special Provisions for Doctor- al Procedures Jointly Supervised by a Foreign to Modify the Doctoral Degree Regula- Faculty tions of the Faculty of Arts § 21 Ehrenpromotion/Honorary Doctorate at the University of Potsdam § 22 Übergangsregelung, In-Kraft-Treten, Außer- Kraft-Treten/Temporary Regulation, Effective 2 of 19 February 2014 Date, Expiration of Regulation – non-official version – § 1 Right to Confer a Doctorate (1) The Faculty of Arts of the University of Pots- The Faculty Council of the Faculty of Arts at the dam confers the academic degree of University of Potsdam has decreed the following Doktor/Doktorin der Philosophie (Dr. phil.) on the Doctoral Degree Regulations in accordance with § basis of a dissertation and a successfully passed 74, para. 1, no. 1 in conjunction with § 18, para. 3 oral examination. The doctorate evidences a special of the Brandenburg Higher Education Act academic qualification through independent re- (BbgHG) as amended on 6 July 2004 (Law and Or- search that is beyond a regular university degree. dinance Gazette GVBI., p. 394): (2) The Faculty of Arts may confer the degree of an honorary Doktor/Doktorin der Philosophie (Dr.
    [Show full text]
  • Geochemistry and Geosciences in Germany
    Goldschmidt Virtual Conference 2021 Geochemistry and Geosciences in Germany Geochemistry and Geosciences research in Germany is wide and varied. This leaflet provides information on several German research institutions, programmes and funding organisations displayed at our booth. Got curious? Contact our booth personnel and learn more about research, training, funding and career opportunities in German Geochemistry and Geosciences. Index I. Cluster of Excellence "Climate, Climatic Change, and Society" (CLICCS) II. Centre for Marine Environmental Sciences at the University of Bremen (MARUM) III. The Helmholtz Centre for Ocean Research Kiel (GEOMAR) IV. The Helmholtz Centre Potsdam - German Research Centre for Geosciences (GFZ) V. The Bavarian Research Institute of Experimental Geochemistry and Geophysics (BGI) VI. Collaborative Research Centre “Earth - Evolution at the Dry Limit” VII. Transregio “Late Accretion onto Terrestrial Planets” VIII. Priority Research Program “Dynamics of Ore Metals Enrichment” IX. Priority Research Program “Building a Habitable Earth” X. Research Unit “Diffusion Chronometry of Magmatic Systems” XI. Alexander von Humboldt Foundation XII. German Academic Exchange Service XIII. Deutsche Forschungsgemeinschaft XIV. Initiative “Research in Germany” I. Cluster of Excellence “Climate, Climatic Change, and Society” (CLICCS) Researchers from a wide range of disciplines have joined forces at the Cluster of Excellence CLICCS to investigate how climate and society will co-evolve. The program is guided by the overarching
    [Show full text]
  • Print Special Issue Flyer
    IMPACT FACTOR 4.329 an Open Access Journal by MDPI Chitosan, Chitin, and Cellulose Nanofiber Biomaterials Guest Editor: Message from the Guest Editor Prof. Dr. Anayancy Osorio- There is increasing interest in using natural polymers and Madrazo fiber-filled composites to achieve the development of 1. IMTEK - Institute of Microsystems Engineering, functional biomaterials (polysaccharides chitosan, chitin, Laboratory for Bioinspired cellulose, and their derivatives, etc) for the most varied Materials, University of Freiburg, applications. However, fundamental research relating 79110 Freiburg, Germany chitosan/chitin physico-chemistry with biological 2. FMF - Freiburg Materials Research Center, University of properties is only addressed by a relatively minor number Freiburg, 79104 Freiburg, of studies. In addition, cellulose nanofibers (CNF) unique Germany mechanical properties and renewability increasingly 3. FIT - Freiburg Center for motivate their use as filler in nanocomposites. As a Interactive Materials and Bioinspired Technologies, nanomaterial, the question on CNF toxicity and University of Freiburg, 79110 environmental impact has been addressed, and good CNF Freiburg, Germany biocompatibility has been also reported. anayancy.osorio@ imtek.uni- freiburg.de This special issue is oriented to all types of biomaterials (biological materials, bio-based materials and biomaterials for biomedical applications) presenting chitosan, chitin, and/or cellulose nanofibers, includes: (i) microstructure- Deadline for manuscript properties relationship in both biological and engineering submissions: 30 November 2021 materials; (ii) the understanding of biopolymer physical- chemistry behavior by interrelating processing- microstructure-function-biological response, but it will not be limited to this field. mdpi.com/si/61888 SpeciaIslsue IMPACT FACTOR 4.329 an Open Access Journal by MDPI Editor-in-Chief Message from the Editor-in-Chief Prof.
    [Show full text]