Chaos in complex nonlinear systems

Author: Wang Xingyuan
Publisher:
Publish Date: 2003-06-01
Features: The fundamental ideas of chaos theory originated in the early 20th century and developed rapidly after the 1960s, flourishing in the 1980s. It is considered the third great revolution in human understanding and transformation of the world, following relativity and quantum mechanics. Today, chaos theory, combined with computer science theory and other fields, has made breakthroughs in studying long-standing fundamental problems, playing a significant role in exploring, describing, and researching the complexity of the objective world. Chaos has been recognized as the best language and tool for studying complex nonlinear problems, attracting attention from governments and scholars worldwide, making it a globally renowned academic hotspot. This book introduces the basic principles of chaos, its development both domestically and internationally, as well as the author's achievements in chaos research within complex nonlinear systems. The main content includes: the history of chaos, basic theories of chaos, perspective views of three-dimensional strange attractors, chaos and fractals in two-dimensional nonlinear mappings, chaos in neural networks, chaos in systems of ordinary differential equations, chaos control, and chaos in the heart system. The book is easy to understand yet profound, rich in illustrations and references, making it suitable for teachers, senior students, and graduate students in science and engineering disciplines, as well as researchers in natural sciences and engineering fields.