Surface Chaos and Its Applications

著者名：Liu, Shu Tang/Zhang, Li

Springer（2022/03/03発売）

• 言語：ENG
• ISBN：9789811682285
• eISBN：9789811682292

Description

This book addresses a special topic in the field of nonlinear dynamical systems, develops a new research direction of surface chaos and surface bifurcation. It provides a clear watershed for original nonlinear chaos and bifurcation research. The novel content of this book makes nonlinear system research more systematical and personalized.

This book introduces the chaos and bifurcation behavior of surface dynamics in the sense of Li Yorke, the basic properties, Lyapunov exponent and Feigenbaum constant of nonlinear behavior of surface, and obtained the wave behavior of chaotic process in surface motion, the control of surface chaos and bifurcation, and the wide application of surface chaos in engineering technology.

Through this book, readers can obtain more abundant and novel contents about surface chaos and surface bifurcation than the existing mixed fitting bifurcation of plane curve and space curve, which can also expand the realm andvision of research.

Table of Contents

Introduction.- Basic Knowledge.- Spatial Periodic Orbits and Surface Chaos.- Surface Chaos and Its Spatial Lyapunov Exponent.- Surface Chaos and Its Associated Bifurcation and Feigenbaum Problem.- Prediction-Based Feedback Control of Surface Chaos for Convection System with A Forced Term.- Spatial Static Bifurcation and Control of 2-D Discrete Dynamical System.- Holistic Compression Control and Surface Chaos.- Linear Generalized Synchronization of Surface Chaos.- Generalized Feedback Synchronization of Surface Chaos.- Surface Determining Wave Behavior of A Delay 2-D Discrete System.- Nonlinear Analysis of The Process From The Wave To Surface Chaos.- Nuclear Fission and Surface Chaos.- Uniformity and Surface Chaos of Spatial Physics Kinematic System.- Uniformity of Physical Motion Systems and Surface Chaos.- Surface Chaos Behavior of Molecular Orbit.- Surface Chaotic Theory and the Growth of Harmful Algal Bloom.- Surface Chaos-Based Image Encryption Design.- The Relationships Among Spatial Body Chaos, Cosmic Black Hole and Galaxy.