Mathematics-Dynamical Systems

Dynamical systems: differential equations, maps, and chaotic behaviour

US$5.00 US$37.00

Title (user) : Dynamical systems: differential equations, maps, and chaotic behaviourTitle (google) : Dynamical Systems Differential Equations, Maps, and Chaotic BehaviourISBN : 0412390701,9780412390708DDC : 515/.352LCC : QA614.8 .A774 1992GoogleBook ID : nHWzQgAACAAJOpenLibrary ID : OL1717828MEdition : 1st edSeries : Chapman Hall/Crc Mathematics SeriesAuthors (user) : D. ArrowsmithAuthors (google) : D. K. Arrowsmith,C. M. PlacePublisher : Chapman & HallLanguage : EnglishPublication Date : 1992Scanned : yes (300 DPI)File Format : djvuCategories : Science------------------------------------------Description (user) : This text discusses the qualitative properties of dynamical systems including both differential equations and maps, The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams to develop the material including a treatment of chaotic behaviour. The unprecedented popular interest shown in recent years in the chaotic behaviour of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. The book is aimed at courses in dynamics, dynamical systems and differential equations and dynamical systems for advanced undergraduates and graduate students. Applications in physics, engineering and biology are considered and introduction to fractal imaging and cellular...
Description

Title (user) : Dynamical systems: differential equations, maps, and chaotic behaviour

Title (google) : Dynamical Systems Differential Equations, Maps, and Chaotic Behaviour

ISBN : 0412390701,9780412390708

DDC : 515/.352

LCC : QA614.8 .A774 1992

GoogleBook ID : nHWzQgAACAAJ

OpenLibrary ID : OL1717828M

Edition : 1st ed

Series : Chapman Hall/Crc Mathematics Series

Authors (user) : D. Arrowsmith

Authors (google) : D. K. Arrowsmith,C. M. Place

Publisher : Chapman & Hall

Language : English

Publication Date : 1992

Scanned : yes (300 DPI)

File Format : djvu

Categories : Science


------------------------------------------

Description (user) :
This text discusses the qualitative properties of dynamical systems including both differential equations and maps, The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams to develop the material including a treatment of chaotic behaviour. The unprecedented popular interest shown in recent years in the chaotic behaviour of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. The book is aimed at courses in dynamics, dynamical systems and differential equations and dynamical systems for advanced undergraduates and graduate students. Applications in physics, engineering and biology are considered and introduction to fractal imaging and cellular automata are given.


------------------------------------------

Description (google) :
In recent years there has been an explosion of research centred on the appearance of so-called 'chaotic behaviour'. This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit this sort of behaviour. The early part of this book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms, Anosov automorphism, the horseshoe diffeomorphism and the logistic map and area preserving planar maps . The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. This book, which has a great number of worked examples and exercises, many with hints, and over 200 figures, will be a valuable first textbook to both senior undergraduates and postgraduate students in mathematics, physics, engineering, and other areas in which the notions of qualitative dynamics are employed.

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