Numerical Bifurcation Analysis of Maps: From Theory to Software

Kuznetsov, Yuri A./ Meijer, Hil G. E.

ISBN 10: 1108499678 / ISBN 13: 9781108499675

Published by Cambridge Univ Pr, 2019

About this Item

407 pages. 9.00x6.25x1.00 inches. In Stock. Seller Inventory # __1108499678

Bibliographic Details

Title: Numerical Bifurcation Analysis of Maps: From...

Publisher: Cambridge Univ Pr

Publication Date: 2019

Binding: Hardcover

Condition: Brand New

About this title

Synopsis:

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics.

Book Description:

This book combines a comprehensive treatment of bifurcations of discrete-time dynamical systems with concrete instruction on implementations and applications in the free MATLAB® software MatContM. While self-contained and suitable for independent study, it is also written with users in mind and will be an invaluable reference for practitioners.