Branching and Chaos Theory and Applications

Author: Zhang Qichang
Publisher:
Publish Date: 2005-01-01
Features: This book elaborates on the basic concepts, main methods, and applications of bifurcation and chaos in nonlinear systems in fields such as electromechanical, aerospace, ecology, and economics. It introduces the center manifold theory, L-S method, normal form theory, singularity theory, chaos theory, and chaos control. In the appendix, programs for calculating the center manifold and normal form are provided, written in Mathematica. The book is written in an accessible yet systematic manner, with numerous examples to help readers quickly delve into the study of bifurcation theory and its applications. This book can also serve as a specialized course textbook for graduate students in mechanics, as well as an elective textbook for graduate students in mechanical engineering, power machinery, civil structures, water conservancy, automation, chemical engineering, and management. Additionally, it can be used as a reference book for researchers in the fields of natural sciences and engineering technology.