Discrete and switching dynamical systems
By: Albert C.J. Luo
Series: Mathematical methods and modeling; Mathematical methods and modeling
Publisher: L&H Scientific Pub. and Higher Education Press Limited Co.
Published: 2012
Place of publication: Glen Carbon, IL; Beijng, China
Language: eng
Number of pages: 285
ISBN-13: 9787040348217; 9781621550020
Subjects: Differentiable dynamical systems; Chaotic behavior in systems; Bifurcation theory
Description: Discrete and switching dynamical systems is a unique book about stability and its switching complexity in discrete dynamical systems, and provides a simple and concise view of the theory of stability and bifurcation in nonlinear discrete dynamical systems. Linear discrete systems with repeated eigenvalues are presented as an introduction. Higher-order singularity, stability and bifurcations  in nonlinear discrete dynamical systems are presented. Several examples are presented to illustrate chaos fractality and complete dynamics of nonlinear discrete dynamical systems. Switching systems with transports are discussed comprehensively as a general fashion to present continuous and discrete mixed systems, and mapping dynamics, grazing phenomena and strange attractor fragmentation are also presented for a better understanding of regularity and complexity in discrete, switching and discontinuous dynamical systems. This book is written as a textbook or reference book for university students, professors and researchers in applied mathematics, physics, engineering, economics dynamics and finance.
Notes: Includes bibliographical references and index.
Table of contents: title: Linear discrete systems and stability; title: Stability, bifurcation and routes to chaos; title: Fractality and complete dynamics; title: Switching systems with transports; title: Mapping dynamics and fragmentation.