非线性物理科学：离散和切换动力系统（英文版）

Nonlinear Physics: Discrete and Switching Dynamical Systems is an impressive and comprehensive exploration of the stability and bifurcation theory in linear and nonlinear discrete systems. Written by international expert in nonlinear dynamics, Professor Chaoujun Luo at Southern Illinois University, the book covers a wide range of topics, including stability and switching in high-dimensional discrete systems, bifurcations, chaos theory, mapping dynamics, and fragmentation. The book's unique approach is to provide a detailed classification of the stability and bifurcation theory in switching systems, which are often used to describe continuous and discrete mixed systems. This is particularly useful for readers in engineering, economics, and finance, where the complexity of switching systems is a real-world challenge. The book is suitable as a textbook or reference for undergraduate and graduate students in applied mathematics, physics, engineering, economics, and finance, as well as for professors and researchers in these fields. The writing style is clear and concise, and the book makes excellent use of examples and illustrations to clarify complex concepts. Overall, Nonlinear Physics: Discrete and Switching Dynamical Systems is essential reading for anyone interested in understanding the complexity and fractality of discrete systems. It is an impressive contribution to the field of nonlinear dynamics and a valuable addition to any academic library.