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 standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.

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...

Arrowsmith D.K., Place C.M. Dynamical systems. Differential equations maps and chaotic behaviour

формат djvu
размер 5.42 МБ
добавлен 14 января 2011 г.

Chapman & Hall, 1992. - 330 pages. In recent years there has been unprecedented popular interest in the chaotic behavior of discrete dynamical systems. The ease with which a modest microcomputer can produce graphics of extraordinary complexity has fired the interest of mathematical-minded people from pupils in schools to postgraduate students. At undergraduate level, there is a need to give a basic account of the computed complexity within a...

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

Cheban D.N. Global Attractors Of Non-autonomous Dissipative Dynamical Systems

формат pdf
размер 2.92 МБ
добавлен 25 мая 2011 г.

World Scientific Publishing Company, 2004. - 528 pages. The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a c...

Devaney R.L. An Introduction To Chaotic Dynamical Systems

формат djvu
размер 3.73 МБ
добавлен 18 февраля 2011 г.

Westview Press, 1989. - 360 Pages. The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of t...

Fekan M. Bifurcation and Chaos in Discontinuous and Continuous Systems

формат pdf
размер 2.59 МБ
добавлен 15 августа 2011 г.

Springer, 2011. - 390 pages. "Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, dif...

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...

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...

Sprott J.C. Elegant Chaos: Algebraically Simple Chaotic Flows

формат pdf
размер 21.03 МБ
добавлен 06 февраля 2011 г.

World Scientific Publishing Company, 2010. - 304 pages. This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently dis...