41. Chaotic Dynamical Systems CHAOTIC dynamical systems. A presentation by Victor colleagues at theCollege. In dynamical systems, an object moves according to a rule. http://serendip.brynmawr.edu/chaos/

CHAOTIC DYNAMICAL SYSTEMS A presentation by Victor J. Donnay, Associate Professor of Mathematics, Bryn Mawr College, and students and colleagues at the College In Dynamical Systems, an object moves according to a rule. Depending on the rule motion, the object may move in a regular fashion or in a chaotic fashion. We illustrate the ideas of chaos theory by letting the user play with three different types of dynamical systems: Billiards in which a ball moves around inside a billiard table. The user can choose different shapes for the table (polygon, circle, ellipse, stadium). For some shapes, the billiard motion is regular; for others it is chaotic. 2. The Phase Space Game in which a point hops around inside a rectangle. The moving point produces beautiful colored patterns. The user can vary the rules of motion to produce either a regular pattern, a chaotic pattern or a pattern that has a mixture of regular and chaotic behaviour. Iteration of a point on the real number line. A point moves on the number line according to various rules that the user chooses. One can display the motion either numerically or using the staircase method. Java Applets by: Derya Davis , Mathematics and Physics, Bryn Mawr College Stadium Billiards, Circle Billiards

42. Dynamical Systems Software Software for dynamical systems Theory. The DSS website has moved! Pleaseupdate your links to http//www.enm.bris.ac.uk/staff/hinke/dss/ http://www.maths.ex.ac.uk/~hinke/dss/

43. DSD2003 Home University of North Texas, Denton, TX, USA; 2529 May 2003.Category Science Math dynamical systems Events...... The dynamical systems, Denton 2003 conference will be held at the Universityof North Texas in Denton TX from May 25, through May 29, 2003. http://www.towiem.com/

University of   North Texas MENU DSD2003 Home Registration form Participants UNT Home ... UNT Campus Map NEW LINKS Hotels Submit abstract Abstracts The Dynamical Systems, Denton 2003 conference will be held at the University of North Texas in Denton TX from May 25, through May 29, 2003 University of North Texas Department of Mathematics P.O. BOX 311430 Denton, TX 76203-1430 Phone: 940.565.2155    Fax: 940.565.4805 The goal of the conference is to gather participants representing various branches of dynamical systems. We plan to publish proceedings of the conference. There will be five PLENARY (50 minutes) TALKS by : Krystyna Kuperberg (Auburn University) Carlangelo Liverani (Rome University) Rafael de la Llave (University of Texas at Austin) Michael Lyubich (Stony Brook) Lai-Sang Young (Courant Institute) You are invited to register and to deliver a 20 minute talk -> click here HOUSING will be provided on UNT campus dormitories. You may also book a room in hotels near campus. For more information and reservation links -> click here To all foreign participants: Please read especially carefully the part of the letter from the Mathematics Department of UNT concerning visa matters!

44. New Directions In Dynamical Systems (A satellite conference of ICM 2002.) Ryukoku University and Kyoto University, Kyoto, Japan; 515 Category Science Math dynamical systems Events Past Events...... http://ndds.math.h.kyoto-u.ac.jp/

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45. Summer School On Dynamical Systems Translate this page http://www.fc.up.pt/cmup/sds/

46. 37: Dynamical Systems And Ergodic Theory Articles and links in the Atlas of Known Math.Category Science Math Complex Systems Evolution and Dynamics...... 37 dynamical systems and ergodic theory. Introduction. dynamical systems 58119).Some electronic Survey articles in dynamical systems. Reviews http://www.math.niu.edu/~rusin/known-math/index/37-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 37: Dynamical systems and ergodic theory Introduction Dynamical systems is the study of iteration of functions from a space to itself in discrete repetitions or in a continuous flow of time. Thus in principle this field is closely allied to differential equations on manifolds, but in practice the focus is on the underlying sets (invariant sets or limit sets) and on the chaotic behaviour of limiting systems. This heading includes the topic of Chaos, well-known in the popular press, but not a particularly large part of mathematics. At best, it provides a paradigm for the phrasing of situations in the applications of mathematics. A quote by Philip Holmes (SIAM Review 37(1), pp. 129, 1995) illustrates this situation well: One sometimes hears similar expressions of regret that other valid topics in nearby area - catastrophe theory, dynamical systems, fractal geometry - have been championed by persons not familiar with the content of the material. History Applications and related fields Subfields Ergodic theory [See also 28DXX] Topological dynamics [See also 54H20] Smooth dynamical systems: general theory [See also 34CXX, 34DXX]

47. Qualitative Theory Of Dynamical Systems http://www.udl.es/usuaris/y4370980/ssd/qtds/

48. Dynamical Systems Group Wuppertal Translate this page dynamical systems group Wuppertal. Fig.1 Clustering of a chaos group.People at the NIC in Jülich Peter Grassberger (Prof.) phone http://www.theorie.physik.uni-wuppertal.de/Chaos/

Dynamical systems group Wuppertal Fig.1: Clustering of a chaos group People at the Peter Grassberger (Prof.) phone: +49 2461 612326 P.Grassberger@fz-juelich.de Rodrigo Quian Quiroga (Dr.) phone: +49 2461 612430 R.QuianQuiroga@fz-juelich.de People in Wuppertal Andreas Schmitz (Dr.) phone: +49 202 439 3517 schmitz@theorie.physik.uni-wuppertal.de People in Dresden: Holger Kantz (Priv. Doz.) phone: +49 351 4636231 kantz@mpipks-dresden.mpg.de Thomas Schreiber (Priv. Doz.) phone: +49 202 439 2739 schreibe@mpipks-dresden.mpg.de Former members: Rainer Hegger (Dr.) phone: +49 351 8763927 hegger@mpipks-dresden.mpg.de (Dr.) phone: +49 202 439 3635 hans@theorie.physik.uni-wuppertal.de Helge Frauenkron (Dr.) phone: +49 2461 612302 helge@hlrserv.hlrz.kfa-juelich.de Alessandro Torcini (Dr.) phone: +39 55 4796344 torcini@risc.idg.fi.cnr.it Erwin Gerstner (Dipl. Phys.) phone: +49 2461 612309 erwin@wpos2.physik.uni-wuppertal.de Marcus Richter (Dipl. Phys.) phone: +49 202 439 3635 richter@theorie.physik.uni-wuppertal.de

49. Laboratory For Dynamical Systems And Control (Sydney University) LABORATORY for dynamical systems and CONTROL. SCHOOL Welcome to thedynamical systems and Control Research Group's home page. The http://merlot.ee.usyd.edu.au/

LABORATORY for DYNAMICAL SYSTEMS and CONTROL SCHOOL OF ELECTRICAL and INFORMATION ENGINEERING Building J03, Maze Crescent, Southern Campus The University of Sydney NSW 2006, Australia Director: Prof David J Hill davidh@ee.usyd.edu.au Secretary: Sylvia Pyman sylvia@ee.usyd.edu.au Contact Details: Tel: +61 (0)2 9351 4647, Fax: +61 (0)2 9351 5132 Welcome to the Dynamical Systems and Control Research Group's home page. The group is one of a number of research groups within Sydney University's School of Electrical and Information Engineering. Personnel Research Projects Seminars Technical Reports On-line OLIFO control (This feature is no longer available) Publications Useful control information (Control Engineering Virtual Library) may be found at either Cambridge University, UK or Caltech, California, USA. Other Sydney University Links: Electrical Engineering Home Page Engineering Faculty Home Page University Home Page Last modified 16 March 1998

50. Center For Mathematical Analysis, Geometry, And Dynamical Systems, DM, IST, Lisb Translate this page http://www.math.ist.utl.pt/cam/

51. Ingenta Select dynamical systems (ps/pdf); http://www.catchword.com/rpsv/cw/tandf/14689367/contp1.htm

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52. EE363: Linear Dynamical Systems EE363 Linear dynamical systems. Stanford University, Winter Quarter 20012002.next taught winter quarter 2003-4 (tentative). www.stanford.edu/class/ee363. http://www.stanford.edu/class/ee363/

EE363: Linear Dynamical Systems Stanford University , Winter Quarter 2001-2002 next taught winter quarter 2003-4 (tentative) www.stanford.edu/class/ee363 Professor Stephen Boyd Basic course info Topics (tentative) ... References Announcements Final exam schedule Final exam ( ps pdf Final exam solutions ( ps pdf Lecture notes Linear quadratic regulator: Discrete-time finite horizon ( ps pdf LQR via Lagrange multipliers ( ps pdf Infinite horizon LQR ( ps pdf Continuous-time LQR ( ps pdf Observability ( ps pdf Invariant subspaces ( ps pdf Conservation and dissipation ( ps pdf Basic Lyapunov theory ( ps pdf Linear quadratic Lyapunov theory ( ps pdf More Lyapunov theory ( ps pdf Lyapunov theory with inputs and outputs ( ps pdf Linear matrix inequalities and the S-procedure ( ps pdf Perron-Frobenius theory ( ps pdf Estimation ( ps pdf The Kalman filter ( ps pdf top of EE363 page Support notes Analysis of minimum cost path via dynamic programming ( ps pdf top of EE363 page Homework Homework 1 ( ps pdf ), due Thurs 1/17/02 Homework 2 ( ps pdf ), due Thurs 1/24/02 Homework 3 ( ps pdf ), due Thurs 1/31/02

53. Spring Topology And Dynamical Systems Conference 2003 Home Page Lubbock, Texas, USA; 2022 March 2003.Category Science Math dynamical systems Events......SPRING TOPOLOGY and dynamical systems CONFERENCE 2003 TEXASTECH UNIVERSITY LUBBOCK, TEXAS MARCH 2022, 2003 http://www.math.ttu.edu/~wlewis/stdc/stdc.html

SPRING TOPOLOGY and DYNAMICAL SYSTEMS CONFERENCE 2003 TEXAS TECH UNIVERSITY LUBBOCK, TEXAS MARCH 20-22, 2003 Home Organization Program, Speakers Registration ... Acknowledgements CLICK ON ANY LINK ABOVE FOR INFORMATION ON THE CONFERENCE All files and links should now be operational. Some files will be updated closer to the time of the conference. Two versions of the conference logo are presented above. The logo depicts the many facets of the conference and their interconnections. Each develops in its own direction while maintaining strong connections with the core and being connected with other subject areas. The logo is itself a topological object, with the lines forming the interconnections depicting knot 5 . This logo also depicts a five-pointed star, which is appropriate for this being the third of this series of conferences in a four-year period to be held in the Lone Star State of Texas, a state which has had a major influence on the development of topology. Contact: springtop@math.ttu.edu

54. Beam Theory And Dynamical Systems Group Beam Physics Theory, Mathematical Physics. HighOrder Maps of Complex Systems,Self-Validated Methods. Normal Form Methods, Analysis on Levi-Civita Fields. http://bt.pa.msu.edu/

Department of Physics and Astronomy Michigan State University East Lansing MI Members of the Group Scientists Graduate Students Undergraduate Student Martin Berz Laura Chapin Kyoko Makino M.L.Shashikant ... Johannes Grote Former Members Amanda Ford-Ballenger Ralf Degenhardt Weishi Wan Silke Rolles ... Jens Hoefkens Research Activities Beam Physics Theory Mathematical Physics High-Order Maps of Complex Systems Self-Validated Methods Normal Form Methods Analysis on Levi-Civita Fields Long-Term Stability Computational Differentiation with Infinitesimals COSY INFINITY Differential Algebraic Methods SIAM Workshop CD96 Selected Publications Financial Support United States Department of Energy Alfred P. Sloan Foundation

55. Glossary Of Dynamical Systems Terms Glossary of dynamical systems Terms. Asymptotic stability A fixed pointis asymptotically stable if it is stable and nearby initial http://mrb.niddk.nih.gov/glossary/glossary.html

Glossary of Dynamical Systems Terms Asymptotic stability A fixed point is asymptotically stable if it is stable and nearby initial conditions tend to the fixed point in positive time. For limit cycles , it is called orbital asymptotic stability and then there is an associated phase shift. A fixed point is locally stable if the eigenvalues of the linearized system have negative real parts. A limit cycle is orbitally asymptotically stable if the Floquet multipliers of the linearized system lie inside the unit circle with the exception of a multiplier with value 1. Attractor An attractor is a trajectory of a dynamical system such that initial conditions nearby it will tend toward it in forward time. Often called a stable attractor but this is redundant. Averaging A method in which one can average over the period of some system when one of the variables evolve slowly compared to length of the period. Bifurcation point This is a point in parameter space where we can expect to see a change in the qualitative behavior of the system, such as a loss of stability of a solution or the emergence of a new solution with different properties. Bifurcation diagram This is a depiction of the solution to a dynamical system as one or more parameters vary. Typically, the horizontal axis has the parameter and the vertical axis has some aspect of the solution, such as, the norm of the solution, the maximum and/or minimum values of one of the state variables, the frequency of a solution, or the average of one of the state variables.

56. JHU Dynamical Systems And Control Laboratory dynamical systems and Control Laboratory. Technical Report, dynamical systemsand Control Laboratory, Johns Hopkins University, August 30, 1998. http://robotics.me.jhu.edu/dscl/

Dynamical Systems and Control Laboratory Department of Mechanical Engineering G.W.C. Whiting School of Engineering Johns Hopkins University Director: Louis L. Whitcomb (llw@jhu.edu) Some New Links: JHU Hydrodynamics Test Facility - a test facility for underwater vehicles and instruments. News release photos , and video DVLNAV - a navigation program for underwater vehicles. JHU ROV - the Johns Hopkins University Remotely Operated Vehicle. JASON II - the newest addition to the National Deep Submergence Facility. Research Overview O Some additional photos are available Dynamics and Control of Underwater Robotic Vehicles: Our research objective is to develop control algorithms to enable highly precise closed-loop maneuvering of underwater robotic vehicles. Closed-loop control of underwater vehicles is complicated by incompletely understood propulsor and vehicle dynamics, and the difficulty of state measurement (vehicle position and velocity) necessary for closed-loop control. Our methodology is to address these fundamental enabling theoretical issues for the next generation of remotely operated and autonomous underwater vehicles, and to experimentally verify our research results in actual working systems. Underwater Vehicle Propulsor Modeling and Control: We have developed the most precise reported finite-dimensional nonlinear model for the unsteady dynamics of marine thrusters, experimentally validated this model, and compared its performance all previously reported dynamical models. We are presently employing our models to develop and experimentally validate model-based adaptive thrust controllers for marine thrusters. To perform this research we have developed a thruster test facility providing precise high-bandwidth 6-axis force/torque sensing and acoustic doppler fluid flow sensing, as shown below. Supported by ONR under ONR Young Investigator Award N0014-97-1-0487 and NSF under CAREER Award BES-9625143.

57. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS Contents of all volumes, selected abstracts.Category Science Math Applications Control Theory Journals......JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. KLUWER ACADEMIC / PLENUM Breakingground in dynamical systems RESEARCH .. Journal of Dynamical http://math.la.asu.edu/~kawski/JDCS/jdcs.html

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS KLUWER ACADEMIC / PLENUM PUBLISHERS, NEW YORK, LONDON, AND DORDRECHT At last, a comprehensive journal examining both dynamical and control systems issues Mirrored at: Israel (Weizmann Institute, Rehovot) US (Arizona State U., Tempe) ... Index page (save it as your bookmark!) Introducing the new journal: Scope Editorial board Contents : tables of contents and links to abstracts (years 1995-2001, for later issues refer to official web site of JDCS Submission of manuscripts : an invitation to contribute and guidelines for authors Feedback: mail to the page author(s) Official web site of JDCS maintained by Kluwer Academic Publishers Focus of the new Journal Plenum Press is pleased to announce the publication of an exciting new quarterly that provides thorough and original coverage of dynamical and control systems research. Journal of Dynamical and Control Systems presents peer-reviewed survey and original research articles. Detailed reviews of newly published books relevant to future studies in the field are also included. Accessible to a broad range of scholars, each survey paper contains all necessary definitions and explanations; a complete over-view of the problem discussed; and a description of its importance and relationship to basic research on the subject. This publication also features authoritative contributions describing ongoing investigations and innovative solutions to unsolved problems.

58. Pushpa Publishing House, Allahabad, Uttar Pradesh India (Pushpa) Table of contents and abstracts from vol.1 (1999).Category Science Math dynamical systems Journals......Far East Journal of dynamical systems (ISSN 0972 1118) The Far EastJournal of dynamical systems is devoted to the publication http://www.pphmj.com/fjdsjournals.htm

Far East Journal of Dynamical Systems (ISSN 0972 - 1118) The Far East Journal of Dynamical Systems is devoted to the publication of original research papers and critical survey articles in any branch of Differential Equations, Ergodic Theory and Dynamical Systems The journal will be published in two issues per volume annually appearing in June and December. Thus one issue of approximately 100 pages will be brought out. Current Volumes: Content Subscription Managing Editor Professor K. K. Azad (University of Allahabad, INDIA) Editorial Board Information to Authors Abstracted/indexed/Reviewed: Mathematical Reviews Zentralblatt fur Mathematik Other Publications Home Publisher Contact Us Pushpa Publishing House Vijaya Niwas, 198 Mumfordganj, Allahabad - 211002, INDIA, e-mail : arun@pphmj.com

59. Cambridge Journals Online - Journal Home Page Originally from the Katsiveli 2000 Open Problems Session, now maintained by Sergiy Kolyada. PDF/PS.Category Science Math Differential Equations dynamical systems...... Open Problemslinks. Michael Herman Some Open Problems in dynamical systems. http://www.journals.cambridge.org/journal_ErgodicTheoryandDynamicalSystems

My CJO Homepage You are logged in as Guest No Institution Recognised Browse Journals Alphabetically By Subject Area Subscribed Journals Advanced Search Site Holdings Account Options Personalise Help Context Help Contents FAQs Diagnostics Site Map Password Help Advanced Search Quick Search Ergodic Theory and Dynamical Systems Forthcoming articles... Volume 23 Issue 01 Feb 2003 pp 1-348 Volume 22 Show Back Volumes Editor(s): S. van Strien, University of Warwick, UK P. Walters, University of Warwick, UK Description Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of differential geometry, number theory, operator algebras, topological, differential and symbolic dynamics, and celestial and statistical mechanics. Subscription Prices Year Category Access Type Price* Institutions subscribe Institutions Online Only subscribe *Purchases from the United States, Canada, and Mexico are in US dollars. All other purchases are in pounds sterling. Price does not include VAT, GST or other applicable taxes

60. Introduction To The Modern Theory Of Dynamical Systems Introduction to the Modern Theory of dynamical systems. By Anatole Katok and BorisHasselblatt. have a definite idea what dynamical systems theory is all about. http://www.tufts.edu/~bhasselb/thebook.html

Introduction to the Modern Theory of Dynamical Systems By Anatole Katok and Boris Hasselblatt With a supplement by Anatole Katok and Leonardo Mendoza Encyclopedia of Mathematics and Its Applications 54 Cambridge University Press , 1995. ISBN 0-521-34187-6 March 1995 Paperback: ISBN 0-521-57557-5. Price : $50. Call 1-800-872 7423 to order Russian translation : Publishing House Faktorial May 1999 Reviews The authors ... have a definite idea what dynamical systems theory is all about. A first rate text with more than enough dynamics to suit just about anyone's taste...carefully and masterfully written...a classic compendium. It is a must-have for any researcher in the field. R. Devaney, Mathematical Intelligencer A comprehensive exposition. Seemingly every topic is covered in depth. M. Richey, American Mathematical Monthly The book...is unique in giving a detailed presentation of a large part of smooth dynamics in a consistent style...unrivalled as a comprehensice introduction at an advanced level. D. Ruelle

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