121. Daniel Smania Information about work on dynamical systems, including electronic preprints and references to published articles. http://www.icmc.sc.usp.br/~smania/

Daniel Smania E-mail: smania@icmc.usp.br O ffice : Room 3-155 (ICMC). Curriculum Vitae: in portuguese (Lattes) or in english ( PS or PDF Teaching (in portuguese) A página do curso de Cálculo III para a turma da Engenharia Aeronautica está disponível aqui A página do curso de EDO para a turma da Matemática está disponível aqui Events Take a look at Geometric and Ergodic Theory of Dynamical Systems A workshop in honor of the 60th birthday of C. Gutierrez and M. A. Teixeira. São Carlos, Brazil August 30 to September 3 Research At the moment, I am interested on renormalization theory and rigidity results in complex dynamics. Preprints In the hyperlinks below you will have access to Postscript files. If your browser did not give to you immediate access to the file after click on the hyperlink, save the file in your computer and read it with Ghostview using the command line "ghostview filename". On the hyperbolicity of the period doubling fixed point Eletronic preprint This is an extended version of the paper "On the hyperbolicity of the Feigenbaum fixed point", containing some proofs omitted in the previous version. We show the hyperbolicity of the period doubling fixed point using the inflexibility of the period doubling tower, the lambda lemma by Mane-Sad-Sullivan and the existence of parabolic domains (petals) for semi-attractive fixed points. This paper also contains the note "Infinitesimal contraction of the Feigenbaum renormalization operator in the horizontal direction" (previously posted in this page), which gives a new proof of the exponential contraction of the Feigenbaum renormalization operator in the hybrid class of the Feigenbaum fixed point: such proof uses the non existence of invariant line fields in the Feigenbaum tower (C. McMullen), the topological convergence (D. Sullivan), and a new infinitesimal argument, distinct from previous methods by C. McMullen and M. Lyubich.

122. Cover.html These pages have been written to supplement the textbook dynamical systems with Applications using Maple ISBN 08176-4150-5, published by Birkhauser in 2001. http://www.doc.mmu.ac.uk/STAFF/S.Lynch/cover1.html

Front cover designed by John Sherman, New Haven CT. These pages have been written to supplement the textbook Dynamical Systems with Applications using Maple ISBN 0-8176-4150-5, published by Birkhauser in 2001. A book review is available in Issue 26 of UK Nonlinear News . You can purchase a copy from amazon.com or Any comments or suggestions as to how the book or web pages could be improved will be gratefully received. Please email s.lynch@mmu.ac.uk Preface Contents Summary If you have Adobe Acrobat Reader then you can see extracts from the book here , Y ou can also see excerpts at amazon.com Chapter : A Tutorial Introduction to Maple Maple 9 Commands Chapter 1 : Differential Equations Chapter 2 : Linear Systems in the Plane Chapter 3 : Nonlinear Systems in the Plane Chapter 4 : Modelling Interacting Species Chapter 5 : Limit Cycles Chapter 6 : Hamiltonian Systems, Liapunov Functions and Stability Chapter 7 : Bifurcation Theory Chapter 8 : Three Dimensional Autonomous Systems and Chaos Chapter 9 : Poincare Maps and Non-Autonomous Systems in the Plane Chapter 10 : Local and Global Bifuractions Chapter 11 : The Second Part of David Hi l bert's 16'th Problem Chapter 12 : Limit Cycles of Lienard Systems Chapter 13 : Linear Discrete Dynamical Systems Chapter 14 : Nonlinear Discrete Dynamical Systems MINOR MISPRINT IN CHAPTER 14 Chapter 15 : Complex Iterative Maps Chapter 16 : Electromagnetic Waves and Bistable Optical Resonators Chapter 17 : Analysis of Nonlinear Bistable Optical Resonators Fractals Barnsley's Fern Chapter 19 :

123. Semi-annual Workshop In Dynamical Systems Fall 2003 Workshop. Penn State University, PA, USA; 2326 October 2003. http://www.math.psu.edu/dynsys/dw03.html

124. Nonlinear Time Series Routines Code in C and Fortran for the analysis of time series with methods based on the theory of nonlinear deterministic dynamical systems (chaos). http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.1/index.html

125. International Congress On Dynamical Systems International Congress on dynamical systems. Montevideo, March 11th 20th, 2004. The International Congress on dynamical systems in the honour of the Prof. http://imerl.fing.edu.uy/congress/

Scientific Program Organization Participants General Information ... Sponsors International Congress on Dynamical Systems. Montevideo, March 11th - 20th, 2004 In Memory of Prof. José Luis Massera Scientific Committee: A. Katok, J. Lewowicz, S. Newhouse, J. Palis, D. Ruelle, A. Verjovsky, J.C. Yoccoz The International Congress on Dynamical Systems in the honour of the Prof. José Luis Massera will be held at Montevideo from March 11th. to 20th., 2004. It is being organized by the mathematical institutions ( IMERL and CMAT ) of the Universidad de la República in Uruguay. Abstracts and contributions should be sent at congress@fing.edu.uy or by fax or current mail ( contact address Contact address: Congress on Dynamical Systems IMERL. Facultad de Ingeniería Julio Herrera y Reissig 565 C.C. 30 Montevideo, Uruguay Fax: (598-2) 711-4462 int.117 Phone:(598-2) 711-0621 or 711-4462 E-mail: congress@fing.edu.uy

126. CIM Thematic Term On Mathmatics And The Environment dynamical systems was born and developed as an interdisciplinary field, driven by requests from experimental sciences and aiming at providing a conceptual http://www.mat.uc.pt/~tt2004/dynsystems/

127. Urbino2002 Theoretical Biology. Biomathematics Euro Summer School dynamical systems in Physiology and Medicine Urbino (Italy) July 819, 2002. http://www.biomatematica.it/urbino2002/

Main page General info Timetable Fees Financial Support Courses on line Sponsored by the European Commission European Society for Mathematical and Theoretical Biology Biomathematics Euro Summer School Dynamical Systems in Physiology and Medicine Urbino (Italy) July 8-19, 2002 More scholarships available registration procedure/updated registration procedure For more details please write to info@biomatematica.it Some school photos are available Participants' e-mail address Organization The School is organized by the EuroMediterranean BioMathematics Association (EMBMA), by the Centro Interuniversitario di Matematica Applicata a Biologia, Medicina e Ambiente (CIMAB) and by the Istituto Analisi dei Sistemi ed Informatica "A. Ruberti" (IASI) of the Italian Consiglio Nazionale delle Ricerche (CNR). It is endorsed by the European Society for Mathematical and Theoretical Biology (ESMTB) and sponsored by the European Commission, by IASI, by the Progetto Strategico Biomatematica of CNR, by the Societe' Francaise de Biologie Theorique (SFBT). Scientific Committee Luis Abia, Ovide Arino, Alain Bardou, Jacques Belair, Edoardo Beretta, Rodolfo Bermejo, George Cremona, Andrea De Gaetano, Oliver Jensen, Yang Kuang, Andre' Longtin, Philip Maini, Andrea Mari, Khashayar Pakdaman, Fortunata Solimano, Yasuhiro Takeuchi

128. Cryptography With Dynamical Systems Cryptography with dynamical systems. Howard Gutowitz ESPCI Laboratoire d Electronique 10 rue Vauquelin 75005 Paris, France. Abstract http://www.santafe.edu/~hag/crypto/crypto.html

Next: Contents Cryptography with Dynamical Systems Howard Gutowitz ESPCI Laboratoire d'Electronique 10 rue Vauquelin 75005 Paris, France Abstract: Dynamical systems are often described as ``unpredictable" or ``complex" as aspects of their behavior may bear a cryptic relationship with the simple evolution laws which define them. Some theorists work to quantify this complexity in various ways. Others try to turn the cryptic nature of dynamical systems to a practical end: encryption of messages to preserve their secrecy. Here some previous efforts to engineer cryptosystems based on dynamical systems are reviewed, leading up to a detailed proposal for a cellular automaton cryptosystem. Cryptosystems constructed from cellular automaton primitives can be implemented in simply constructed massively parallel hardware. They can be counted on to deliver high encryption/decryption rates at low cost. In addition to these practical features, cellular automaton cryptosystems may help illuminate some foundational issues in both dynamical systems theory and cryptology, since each of these disciplines rests heavily on the meanings given to the intuitive notion of complexity. Contents Introduction Cryptology Some Cryptosystems Based on Dynamical Systems ... Overview of CA-1.0

129. Cogprints - Subject: Dynamical Systems Subject dynamical systems. Aussem, A. (1999) Dynamical recurrent neural networks towards prediction and modeling of dynamical systems. Neurocomputing 28pp. http://cogprints.soton.ac.uk/view-comp-sci-mach-dynam-sys.html

Cogprints Home About Browse Search ... Help Subject: Dynamical Systems Subject Areas Computer Science Dynamical Systems Number of records: Abe, Mamiko and Yamamoto, Tomoyuki and ... Ecological Modelling This list was generated on Sun Jun 6 02:42:18 BST 2004 Cogprints Editor: cogprints@ecs.soton.ac.uk Cogprints Technical Administrator: cogprints-admin@ecs.soton.ac.uk

130. Mathematical And Computer Modelling Of Dynamical Systems Mathematical and Computer Modelling of dynamical systems. Methods, Tools and Applications in Engineering and Related Sciences. Mathematical http://www.szp.swets.nl/szp/journals/mm.htm

Mathematical and Computer Modelling of Dynamical Systems Methods, Tools and Applications in Engineering and Related Sciences Mathematical and computer modelling is being used in an increasing number of disciplines. Mathematical and Computer Modelling of Dynamical Systems reflects this movement and its readership embraces mathematicians and computer scientists who are involved with applications of mathematical and computer modelling. Editor-in-Chief: I. Troch, Vienna University of Technology, Vienna, Austria Associate Editors: S. Marsili-Libelli, University of Florence, Florence, Italy J. McPhee, University of Waterloo, Waterloo, Canada P.C. Müller, University of Wuppertal, Wuppertal, Germany D.J. Murray-Smith, University of Glasgow, Glasgow, UK R.E. Skelton, Purdue University, West Lafayette, IN, USA Index Aims and Scope Audience Editors and Editorial Board Abstracted/Indexed in ... Advertising Rates Abstracts Abstracts of Articles Published Publication program 2004: Volume 10, 4 issues. ISSN 1387-3954

131. Department Of Theoretical Physics, Uppsala University Research in classical and quantum field theories and dynamical systems; string theory and cosmology; condensed matter theory and mathematical physics; high energy, condensed matter, and mathematical physics; and quantum mechanics. http://www.teorfys.uu.se/

@import url("./css/teorfys.css"); Department of Theoretical Physics Home People Research Courses ... Uppsala University Box 803 SE-751 08 Uppsala Contact the webmaster URL: http://www.teorfys.uu.se/ Last Modified: November 14, 2003. Announcements Jun 8 Venus transit Jun 28-Jul 2 Strings 2004 , Paris. General Information Postal Address: Department of Theoretical Physics Box 803 SE-751 08 Uppsala Telephone: +46-(0)18-471 32 45 (kansli) +46-(0)18-471 32 41 (kursexp) Fax: Visting Address: Department of Theoretical Physics Polacksbacken Hus 19

132. Dynamical Systems / Queen Mary http://www.maths.qmw.ac.uk/~mathres/pubs/dynhp.html

diversion to http://www.maths.qmw.ac.uk/~mathres/dynsys/

133. NEEDS 2002 Nonlinear Evolution Equations and dynamical systems. Cadiz, Spain; 1016 June 2002. http://www.ucm.es/info/metodos/cadiz.html

SCHEDULE NATO A dvanced Research Workshop PST.ARW 978791: New Trends in Integrability and Partial Solvability SCHEDULE ... Junta de Andalucía Back to Needs XVI Homepage

134. Cargese2003 Summer school on dynamical systems and Statistical Mechanics, including applications. Institut d'Etudes Scientifiques de Carg¨se, Corsica (France); 1830 August 2003. http://www.ccr.jussieu.fr/lptmc/Cargese/CargeseMainPage.htm

135. DISPLAY AGENDAS A0354 structure, Summer School and Conference on dynamical systems, Starts on 19 July 2004. Ends on 06 August 2004. Location Trieste Italy. http://agenda.ictp.trieste.it/agenda/current/showSMR.php?smr=0&ida=a0354

136. Dictionary Of Philosophy Of Mind - Dynamical Systems Theory dynamical systems theory An area of mathematics used to describe the behavior of complex systems by employing differential and difference equations. http://www.artsci.wustl.edu/~philos/MindDict/dynamicsystems.html

dynamical systems theory An area of mathematics used to describe the behavior of complex systems by employing differential and difference equations. Recently this approach has been advanced by some as the best way to describe human cognition. See also symbolicism connectionism Proponents of the dynamical systems theory approach to cognition believe that systems of differential or difference equations are the most appropriate tool for modeling human behavior. These equations are interpreted to represent an agent's cognitive trajectory through a high dimensional state space. In other words, cognition is explained as a multidimensional space of all possible thoughts and behaviors that is traversed by a path of thinking followed by an agent under certain environmental and internal pressures, all of which is captured by sets of differential equations. The terminology of dynamical systems theory is also adapted. Thus, cognition is spoken of in terms of state spaces; point, cyclic and chaotic attractors; trajectories; and deterministic chaos. Dynamicists, including van Gelder, Port, Thelen and Smith, believe that they have a mandate to prove that this dynamicist conception of cognition is the correct one to the exclusion of

137. The Nonlinear Centre, Cambridge The Nonlinear Centre a research group in dynamical systems and related aspects of Nonlinear Science. Based in the Department of Applied Mathematics and Theoretical Physics (DAMTP) and the Statistical Laboratory. http://www.damtp.cam.ac.uk/user/nlc/

UNIVERSITY of CAMBRIDGE The Nonlinear Centre The Nonlinear Centre (NLC) provides a focus in the University of Cambridge for research activity in Dynamical Systems and related aspects of Nonlinear Science. Its core membership is in the Department of Applied Mathematics and Theoretical Physics (DAMTP) and the Statistical Laboratory (a sub-department of the Department of Pure Mathematics and Mathematical Statistics (DPMMS) People Picture gallery Current Research Research Themes PANDA Publications Seminars and Meetings Study group on symplectomorphisms Seminars in the Nonlinear Centre (Wednesdays during term at 3pm and 4.30pm) Diary of forthcoming events Opportunities Postgraduate studies and research in Dynamical Systems Jobs Getting to the NLC Useful Links Nonlinear Centre, DAMTP University of Cambridge Silver Street, Cambridge CB3 9EW, U.K. fax:+44-1223-337918 e-mail: nlc@damtp.cam.ac.uk Comments to nlc@damtp.cam.ac.uk Last updated on 8th January 2002.

138. Institute For Mathematics And Its Applications:1997-1998 Annual Program: Emergin Also, we will work to put traditional researchers in dynamical systems in contact with these new areas of activity. Numerical Analysis of dynamical systems. http://www.ima.umn.edu/dynsys/

Search Contact Information Program Registration Postdoc/Membership Application Program Feedback ... Text-only version IMA ANNUAL PROGRAM FOR 1997-98: Questions? Contact us at ima-staff@ima.umn.edu The year is divided into three components: Fall Quarter, September 1-December 30, 1997: Numerical Analysis of Dynamical Systems Winter Quarter, January 2 - March 31, 1998: Dynamics in Physiology and Chemistry Spring Quarter, April 1 - June 30, 1998: Symmetry and Pattern Formation Organizers Name Home institution Rafael de la Llave University of Texas, Austin Eusebius Doedel Concordia University Martin Golubitsky University of Houston John Guckenheimer, (Chair) Cornell University Yannis Kevrekedis Princeton University John Rinzel ... National Institutes of Health This program offers a set of activities that address the issue of applying dynamical systems methods to a wider circle of problems. There are three components to our approach: a focus on the algorithms that underlie the computation of system behavior, a focus on particular application areas that appear timely for rapid scientific advances through the use of dynamical systems methods, and emphasis upon areas in which existing mathematical theory provides an inadequate substrate for work with applications. The application areas we have selected involve physiological and chemical processes.

139. UIUC Cognitive Science Cognitive science is the study of intelligent systems, both natural and artificial. Over the past thirty years, the study of cognition has developed into an interdisciplinary science by combining approaches primarily from computer science, linguistics, and psychology. The field also has strong links to the neurosciences, philosophy, anthropology, education and, recently, to the physical and engineering sciences dealing with complex dynamical systems. Research prpgrams include Learning and Conceptual Organization , Computational Linguistics , Psycholinguistics and Cognitive Neuroscience . http://www.cogsci.uiuc.edu/

Contents Information for Graduate Students Descripton of Research Programs Faculty Members Link to Associated Sites ... Link to Technical Reports Because of its strong traditions in science and technology and a commitment to cross-disciplinary research, the University of Illinois at Urbana-Champaign (UIUC) has much to offer students interested in cognitive science. At UIUC, graduate training in cognitive science is characterized by a firm grounding in a single discipline of the student's choosing, a specific focus on an interdisciplinary area (learning and conceptual organization, computational linguistics, psycholinguistics, or cognitive neuroscience), and student involvement in research, including research at the university's new Beckman Institute for Advanced Science and Technology. Each student interested in cognitive science is admitted to a specific department and must fulfill the requirements of that department to obtain his or her Ph.D. Most of these students are affiliated with computer science, linguistics, or psychology. Others affiliate with anthropology, educational psychology, the neurosciences, or philosophy. Thus, at UIUC, one studies cognitive science from the perspective of, say, a linguist, or a psychologist, or a researcher in artificial intelligence. This gives each student the kind of background in an established discipline necessary to engage in original research at the doctoral level. At the same time, however, the many courses with interdisciplinary themes and specific interdisciplinary research groups at the Beckman Institute allow students to step outside of their "home" departments.

140. Glossary Of Dynamical Systems Terms Glossary of dynamical systems Terms. Bifurcation diagram This is a depiction of the solution to a dynamical system as one or more parameters vary. 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.

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