• формат djvu
  • размер 4.75 МБ
  • добавлен 26 декабря 2010 г.
Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos
Springer, 2003. - 808 pages.

This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics.
This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.

Смотрите также

Alligood K., Sauer T., Yorke J.A. Chaos: An Introduction to Dynamical Systems

  • формат pdf
  • размер 7.28 МБ
  • добавлен 18 мая 2010 г.
New York: Springer, 1996. - 612 pp. На англ. яз. Chaos: An Introduction to Dynamical Systems is a new textbook aimed at introducing the world of nonlinear dynamics and chaos to students in mathematics and the sciences. The authors' goal is to explain the basic concepts in a way that reflects the wide range of influences present during the development of nonlinear dynamics, from mathematics, theoretical science, experimental science, and computer...

Bolotin Y., Tur A., Yanovsky V. Chaos: Concepts, Control and Constructive Use

  • формат pdf
  • размер 7.72 МБ
  • добавлен 04 марта 2011 г.
Springer, 2009. 198 p. ISBN 978-3-642-00936-5 Introduction Paradigm for Chaos Main Features of Chaotic Systems Reconstruction of Dynamical Systems Controlling Chaos Synchronization of Chaotic Systems Stochastic Resonance The Appearance of Regular Fluxes Without Gradients References Index

Broer H., Takens F. Dynamical Systems and Chaos

  • формат pdf
  • размер 3.89 МБ
  • добавлен 30 декабря 2010 г.
Springer, 2010. - 344 pages. Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed...

Hirsch M., Smale S., Devaney R., Differential Equations, Dynamical Systems, and an Introduction to Chaos

  • формат pdf
  • размер 3.19 МБ
  • добавлен 27 сентября 2010 г.
Название: Hirsch M. ,Smale S. , Devaney R. , Differential Equations, Dynamical Systems, and an Introduction to Chaos. Издательство: Academic. Год: 2003. ISBN: 0123497035. Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the stand...

Lai Y.-C., Tel T. Transient Chaos: Complex Dynamics on Finite Time Scales

  • формат pdf
  • размер 8.93 МБ
  • добавлен 11 апреля 2011 г.
Springer, 2011. - 538 pages. In a dynamical system, transients are temporal evolutions preceding the asymptotic dynamics. Transient dynamics can be more relevant than the asymptotic states of the system in terms of the observation, modeling, prediction, and control of the system. As a result, transients are important to dynamical systems arising from a wide range of disciplines such as physics, chemistry, biology, engineering, economics, and eve...

Manneville P. Instabilities, Chaos And Turbulence: An Introduction To Nonlinear Dynamics And Complex Systems

  • формат pdf
  • размер 17.07 МБ
  • добавлен 24 декабря 2010 г.
World Scientific Publishing Company, 2004. - 408 pages. This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the fiel...

Petras I. Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation

  • формат pdf
  • размер 11.13 МБ
  • добавлен 16 августа 2011 г.
Springer, 2011. - 218 pages. "Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selecte...

Reithmeier E. Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos

  • формат djvu
  • размер 1.01 МБ
  • добавлен 06 июня 2011 г.
Springer, 1991. - 178 Pages. Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many different fields of application. Although, there is extensive literature on periodic solutions, in particular on existence theorems, the connection to physical and technical applications needs to be improved. The bifurcation behavior of periodic solutions by means of parameter variations plays an important role in transitio...

Schuster H.G., Just W. Deterministic Chaos: An Introduction

  • формат pdf
  • размер 6.57 МБ
  • добавлен 05 января 2012 г.
4th, Revised and Enlarged Edition. WILEY-VCH Verlag GmbH & Co. KGaA, 2005. – 299 pages. Contents: Introduction Experiments and Simple Models Piecewise Linear Maps and Deterministic Chaos Universal Behavior of Quadratic Maps The Intermittency Route to Chaos Strange Attractors in Dissipative Dynamical Systems The Transition from Quasiperiodicity to Chaos Regular and Irregular Motion in Conservative Systems Chaos in Quantum Systems? Controlling...

Tom?s-Rodriguez M., Banks S.P. Linear, Time-varying Approximations to Nonlinear Dynamical Systems: with Applications in Control and Optimization

  • формат pdf
  • размер 2.78 МБ
  • добавлен 18 ноября 2011 г.
Springer-Verlag Berlin, 2010, 298 pages Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability t...