1. Dynamical System - Wikipedia, The Free Encyclopedia This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the use of dynamical systems http://en.wikipedia.org/wiki/Dynamical_system

Dynamical system From Wikipedia, the free encyclopedia Jump to: navigation search This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition) . For the use of dynamical systems in cognitive science, see Dynamical system (cognitive science) The Lorenz attractor is an example of a non-linear dynamical system. Studying this system helped give rise to Chaos theory The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space . Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each spring in a lake. A dynamical system has a state determined by a collection of real numbers , or more generally by a set of points in an appropriate state space . Small changes in the state of the system correspond to small changes in the numbers. The numbers are also the coordinates of a geometrical space—a manifold . The evolution rule of the dynamical system is a fixed rule that describes what future states follow from the current state. The rule is

2. Dynamical-systems.org A interactive laboratory on dynamical systems, in particular on particle systems. http://www.dynamical-systems.org/

Pro Memoria: J. Moser (1928-1999) Software: , - dshield submission script for FreeBSD by Frank Josellis kal , - calendar program by Frank Josellis moonphase , - add-on to kal by Frank Josellis chirikov - explore phase space of toral maps bezier - exports LaTeX bezier figures Documents: Topics in the calculus of variations by J. Moser, ETH 1988, (german and english) Fun: math - a fortune file zwicky's dream (sci-fi) Links: Mathematics Links dynamical-systems.org Coupled chain Driven pendulum Fermi acceleration Fermi (older) ... Heavy top (note: 900K page)

3. Dynamical Systems Home Page Conference listings, survey articles, open problems, people, jobs, and seminars. http://www.math.sunysb.edu/dynamics/

Dynamical Systems Homepage Institute for Mathematical Sciences SUNY at Stony Brook Student Competition. DSWeb, the website of the SIAM Activity Group on Dynamical Systems, is running the second student competition for dynamics tutorials. Deadline May 15 2007. Details here. A list of recent past conferences , and some upcoming conferences and announcements in the field. Seminar schedules in the tri-state area. Take a look at the pictures from the conference "Around Dynamics" held in honor of Jack Milnor. A searchable list of people working in the field, and some other similar lists Browse our Thesis Server or submit your own work. The Dynamical Systems electronic preprint list at Stony Brook, has merged into the Dynamical Systems section of the arXiv mathematics e-print server Here are several other electronic preprint servers We also have collected links to some survey articles in Dynamical Systems, available on-line. Programs :Links to a great variety of programs to draw pictures of dynamical objects. There is a bibliography list , constantly updating.

4. AMS Online Books/COLL9/ 1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF. http://www.ams.org/online_bks/coll9/

Title List Help AMS Home AMS Bookstore Dynamical Systems by George D. Birkhoff Publication Date: 1927 Number of Pages: 305 pp. Publisher: AMS ISBN: 0-8218-3394-4 COLL/9.E Download Individual Chapters FREE (11 files - 22.1mb) Frontmatter Title Introduction Preface Contents Physical aspects of dynamical systems Variational principles and applications Formal aspects of dynamics Stability of periodic motions ... Endmatter Addendum Footnotes Bibliography Index Comments: webmaster@ams.org Privacy Statement Search the AMS

5. Dynamical Systems And Technology Project Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets. http://math.bu.edu/DYSYS/dysys.html

Dancing Triangles The Dynamical Systems and Technology Project at Boston University Zooming Sierpinski This project is a National Science Foundation sponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process. At this point, there are a number of Java applets available at this site for use in teaching ideas concerning chaos and fractals. There are also several interactive papers designed to help teachers and students understand the mathematics behind such topics as iteration, fractals, iterated function systems (the chaos game), and the Mandelbrot and Julia sets. Available at this site: JAVA Applets for chaos and fractals Play the chaos game; explore iterated function systems; and make fractal movies, like the Dancing Triangles and Zooming Sierpinski above, all at your own computer. These applets are now up and running! The Mandelbrot Set Explorer This is an interactive site designed to teach the mathematics behind the Mandelbrot and Julia sets. It consists of a series of tours in which you will discover some of the incredibly interesting and beautiful mathematics behind these images. The site is designed to be used by readers of

6. Dynamical Systems Web Portal - Dynamical Systems Magazine www.dynamicalsystems.org/ 2k - Cached - Similar pages dynamical systems an International JournalFormerly Dynamics and Stability of Systems (Routledge). Tables of contents from vol.11 (1996), abstracts from vol.14 (1999). Full text to subscribers. http://www.dynamicalsystems.org/

7. Dynamical Systems And Fractals Lecture Notes dynamical systems and Fractals Lecture Notes. Metric spaces dynamical systems, orbits and attractors Rotations of a circle Topological dimension http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html

Next: Contents Up: Dynamical Systems and Fractals Dynamical Systems and Fractals Lecture Notes David J. Wright Contents Introduction to Dynamical Systems Symbolic dynamical systems Discrete-time systems ... About this document ... David J. Wright Mon Aug 19 17:21:15 CDT 1996

8. Mathematics Archives - Topics In Mathematics - Dynamical Systems Ordinary Differential Equations and dynamical systems KEYWORDS Divergence, Curl; Front for the XXX Mathematics Archive dynamical systems http://archives.math.utk.edu/topics/dynamicalSystems.html

Topics in Mathematics Dynamical Systems Arek Goetz's Applets ADD. KEYWORDS: Piecewise rotation with two atoms, Piecewise rotation on the torus, Toral Maps SOURCE: Arek Goetz, San Francisco State University TECHNOLOGY: Java applets Center for Complex Systems Research ADD. KEYWORDS: Reports, Biology, Physics, Chemistry and Astronomy Center for Dynamical Systems and Nonlinear Studies - Georgia Tech Center for Nonlinear Studies (Los Alamos National Lab) Chaos : A pictorial introduction ADD. KEYWORDS: Animations, Sensitive Dependence Chaos, Fractals and Dynamics ADD. KEYWORDS: Videos Chaos HyperTextbook ADD. KEYWORDS: Iterations, Orbits, Bifurcations, Universality, Strange Attractors, Julia Sets, Mandelbrot Sets, Dimension, Fractal Dimension, Harmonic Oscillator, Logistic Equation, Lyapunov Exponent, Lyapunov Space Chaotic and Regular Dynamics ADD. KEYWORDS: Journal Continuously-adjustable parameter iterated polynomials ADD. KEYWORDS: Web diagram of a quadratic Direction Field Java Applet DOCUMENTA MATHEMATICA - Extra Volume ICM 1998 - Section: Section: 9. Ordinary Differential Equations and Dynamical Systems

9. A Tutorial On Learning Dynamical Systems This is the preface for a webbased tutorial on learning dynamical systems. The tutorial is organized as a hypertext document and includes a set of readings http://www.cs.brown.edu/research/ai/dynamics/tutorial/home.html

Image created by William Shaw using Mathematica. Learning Dynamical Systems: A Tutorial This is the preface for a web-based tutorial on learning dynamical systems. The tutorial is organized as a hypertext document and includes a set of readings (some of which are available on the web), a set of html documents (providing context, explanations, definitions, and pointers to additional readings), and links to Mathematica packages and notebooks that allow readers to explore the main ideas described in the papers in an interactive computational setting. The tutorial is produced concurrently with a course held at Brown University since the 1995 Fall semester. A preliminary syllabus is available for the course. You are cordially invited to follow along with the course, but we warn you that the web pages covering the tutorial material are under construction; existing pages will be revised and new pages will be added as the semester progresses. If you want to follow along in the fall and avoid running into pages under construction, we advise you to keep pace with the schedule outlined in the syllabus. We invite your suggestions for improving the tutorial. Learning Dynamical Systems Back to Dynamics Home Page Brown University September, 1998

10. Encyclopedia Of Dynamical Systems - Scholarpedia History of dynamical systems . Random dynamical systems. 1/F Noise Coherence Resonance; Deterministic Walk in Random Environment; Disordered Systems http://www.scholarpedia.org/article/Encyclopedia_of_dynamical_systems

Encyclopedia of dynamical systems From Scholarpedia This article has not been peer-reviewed or accepted for publication yet; It may be unfinished, contain inaccuracies, or unapproved changes. Dr. Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the free peer reviewed encyclopedia Among participants of this encyclopedia are D. Anosov ( Anosov Diffeomorphism ), L. Bunimovich ( Dynamical Billiards ), B. Chirikov Chirikov standard map ), N. Fenichel ( Normal Hyperbolicity ), R. FitzHugh ( FitzHugh-Nagumo Model J. Guckenheimer (5 articles on codim-2 local bifurcations ), H. Haken ( Self-Organization and Synergetics ), M. Hirsch ( Monotone Dynamics ), P. Holmes ( History of Dynamical Systems Stability , with Shea-Brown), K. Ito ( Ito Calculus ), A. Katok ( Ergodic Theory and Invariant Measure ), Y. Kuramoto ( Kuramoto Model Yu.A. Kuznetsov (7 articles on local bifurcations), E.N. Lorenz ( Butterfly Effect ), B. Mandelbrot ( Fractals and Mandelbrot Set ), J. Milnor ( Attractor ), D. Ornstein ( Ornstein Theorem ), E. Ott ( Attractor Dimension Crises Controlling Chaos Basin of Attraction ), M.M. Peixoto (

11. The Math Forum - Math Library - Dynamical Systems The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites http://mathforum.org/library/topics/dynamical_systems/

Browse and Search the Library Home Math Topics : Dynamical Systems Library Home Search Full Table of Contents Suggest a Link ... Library Help Subcategories (see also All Sites in this category Cellular Automata Chaos Fluid Dynamics ... Nonlinear Dynamics Selected Sites (see also All Sites in this category DS Dynamical Systems (Front for the Mathematics ArXiv) - Univ. of California, Davis Dynamical Systems preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. more>> Nonlinear Dynamics (Mathematics Archives) - University of Tennessee, Knoxville (UTK) Links to sites on nonlinear dynamics, chaos and turbulence studies, complex systems and visualization, continued fractions and chaos, dynamical systems and technology, dynamics and stability of systems, with indications of level and type of resource offered. more>> All Sites - 118 items found, showing 1 to 50

12. Differential Geometry - Dynamical Systems The Electronic Journal Differential Geometry dynamical systems is published in free electronic format by Balkan Society of Geometers, Geometry Balkan http://www.mathem.pub.ro/dgds/

Differential Geometry - Dynamical Systems ISSN 1454-511X Differential Geometry is a fully refereed research domain included in all aspects of mathematics and its applications. The Electronic Journal "Differential Geometry - Dynamical Systems" is published in free electronic format by Balkan Society of Geometers, Geometry Balkan Press. Main Journal Papers Volume 1 (1999) Volume 2 (2000) Volume 3, no. 1 (2001) Volume 3, no. 2 (2001) ... Editors Mathematics Journals Applied Sciences (APPS) Balkan Journal of Geometry and Its Applications (BJGA) The Electronic Library of Mathematics (EMIS) Comments welcome Last update: 29 May 2006. var sc_project=2641123; var sc_invisible=0; var sc_partition=25; var sc_security="4e8bbd11";

13. CONTROL And DYNAMICAL SYSTEMS - California Institute Of Technology Undergraduate and graduate programs information, research and training, resources and people listing. http://www.cds.caltech.edu/

Mar 2008 Events S M T W T F S CDS Web Mail Mailing Lists Computing Resources ... Research Welcome to CDS CDS Interdisciplinary Ph.D. Program [ hide details... ] This program provides rigorous training in mathematics, dynamics, and control, coupled with intensive study of application areas in science and engineering. The program offers a unique combination of analytical, computational, and experimental activities, and connects to diverse research across the Caltech campus. See http://www.cds.caltech.edu/academics for additional information. CDS Undergraduate Minor [ hide details... ] This concentration may be pursued by undergraduates who are taking degrees in science, mathematics, or engineering. The CDS minor is intended to supplement one of Caltech's normal undergraduate degrees and is designed for students who wish to broaden their knowledge beyond their normal major or who may wish to pursue a graduate program involving control or dynamical systems. Students completing the minor requirements below in CDS will have the phrase "minor in Control and Dynamical Systems'' added to their transcript and their graduating degree materials. See http://www.cds.caltech.edu/academics

14. Dynamical Systems Authors/titles Recent Submissions Recent papers in dynamical systems at the ArXiv preprint server. http://arxiv.org/list/math.DS/recent

arXiv.org math math.DS Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Dynamical Systems Authors and titles for recent submissions Fri, 14 Mar 2008 Thu, 13 Mar 2008 Wed, 12 Mar 2008 Tue, 11 Mar 2008 ... Mon, 10 Mar 2008 [ total of 14 entries: [ showing up to 25 entries per page: fewer more Fri, 14 Mar 2008 arXiv:0803.1943 ps pdf other Title: The generic points for the horocycle flow on a class of hyperbolic surfaces with infinite genus Authors: Omri Sarig Barbara Schapira (LAMFA) Subjects: Dynamical Systems (math.DS) arXiv:0803.1856 ps pdf other Title: Strong law of large numbers with concave moments Authors: Anders Karlsson Nicolas Monod Comments: Not for publication. (2 pages) Subjects: Dynamical Systems (math.DS) ; Probability (math.PR) Thu, 13 Mar 2008 arXiv:0803.1662 pdf other Title: Dynamics of the elliptically excited pendulum Authors: B. Horton J. Sieber J. M. T. Thompson M. Wiercigroch Comments: 7 pages, 5 figures Subjects: Dynamical Systems (math.DS) Wed, 12 Mar 2008 arXiv:0803.1525 ps pdf other Title: Equality of pressures for diffeomorphisms preserving hyperbolic measures Authors: Katrin Gelfert Comments: Accepted for publication in Mathematische Nachrichten Subjects: Dynamical Systems (math.DS)

15. Dynamical Systems Software This website aims to collect all available software on dynamical systems theory. The idea was launched in the special year Emerging Applications of http://www.enm.bris.ac.uk/staff/hinke/dss/

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16. Dynamical Systems Data Base alephwww.cern.ch/~zito/chep94sl/sd.html Similar pages Chaotic dynamical systemsInteractive applets that show billiard dynamic system motion in various shaped tables. Addresses mathematical concept. http://alephwww.cern.ch/~zito/chep94sl/sd.html

17. Center For Dynamics And Geometry Center for dynamical systems. Meetings, members, publications. http://www.math.psu.edu/dynsys/

18. Cambridge Journals Online - Ergodic Theory And Dynamical Systems Ergodic Theory and dynamical systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. http://journals.cambridge.org/jid_ETS

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19. IngentaConnect Publication: Dynamical Systems: An International Journal dynamical systems An International Journal logo Taylor and Francis Ltd logo. Publisher Taylor and Francis Ltd. 34 issues are available electronically http://www.ingentaconnect.com/content/tandf/cdss

Home About Ingenta Ingenta Labs Ingenta Blog ... Check our FAQs Or contact us to report problems with: Subscription access Article delivery Registration Library administrator tasks ... Other problems For Publishers Why go online? Why choose IngentaConnect? Beyond Print: enhancing your service Access and authentication ... Contact us For Researchers For Authors About IngentaConnect Search and browse Publications available ... Register For Librarians Resource Zone Why choose IngentaConnect? Why choose IngentaConnect Complete? Activating Subscriptions ... Register CM8ShowAd("HorizontalBanner"); Dynamical Systems: An International Journal ISSN 1468-9367, Online ISSN: 1468-9375 visit publication homepage Publisher: Taylor and Francis Ltd issues are available electronically Key: - Free Content - New Content - Subscribed Content - Free Trial Content CM8ShowAd("Skyscraper"); Volume 22 Number 3, September 2007 Number 2, June 2007 Number 1, March 2007 Volume 21 Number 4, December 2006 Number 2, June 2006 Number 1, Number 1/March 2006 Volume 20 Number 4, Number 4/December 2005

20. SIAM: SIAM Journal On Applied Dynamical Systems (SIADS) The SIAM Journal on Applied dynamical systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its http://www.siam.org/journals/siads.php

JOURNALS SIAM Journal on Applied Dynamical Systems (SIADS) Tasso Kaper, Editor-in-Chief Electronic only, continuous publication The SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only. The use of color, animated visualizations, and internal linking is strongly encouraged where it enhances the exposition, but papers without these enhancements are accepted as well; review is based on research content. Submitted articles should contribute either to the theory of dynamical systems, to the understanding of dynamical systems phenomena through experiment or numerical simulation, or to the use of dynamical systems methods in applications. View this journal online [Login required to view full articles] Editorial Board Editorial Policy Editorial Contacts Review Procedures ... Author Submission and Manuscript Tracking Site [login required] Library Recommendation Form [PDF, 135K]

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