Overview
- Leads the original research on the nonlinear characteristics of surface chaos and surface bifurcation
- Acts as a clear watershed for the study of chaos and bifurcation in the original nonlinear field
- Introduces novel theories and results for the effective control and synchronization of surface chaos
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Table of contents (19 chapters)
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Surface Chaos and Surface Bifurcation
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Control and Synchronization of Surface Chaos
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Wave Behavior in the Process of Tending to Surface Chaos
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Applications of Surface Chaos
Keywords
About this book
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.
Authors and Affiliations
About the authors
Shu Tang Liu, Ph.D., second grade professor of Shandong University, doctoral supervisor.
He received the Ph. D. degree from South China University of Technology in 2002(jointing training by City University of Hong Kong and South China University of Technology). He is the winner of one hundred Excellent Doctoral Dissertations in 2004 in China (jointly organized and implemented by the academic degree office of the State Council and the Ministry of education, discipline of control theory and control engineering). He won the first prize of excellent scientific research achievements of Shandong colleges and universities.
He is also a member of the center for chaos and complex networks, a commentator of American Mathematical Reviews, a member of the American Mathematical Society, and a member of the international WSEAS automatic control academic committee. He is the reviewer of international magazines such as Complex Systems, Transactions of the American Mathematical Society, IEEE Transactions on Circuits and Systems I-Regular Paper, Automatica, Fractals, Chaos, Solitons & Fractals, Nonlinear Analysis: Real World Applications, International Journal of Bifurcation and Chaos, Science China, Chinese Science Bulletin, and Acta Automatica Sinica.
He has been engaged in scientific research in the fields of nonlinear system theory, fractal and chaos theory, nonlinear control and application, physical oceanography, marine environment and marine ecology. He published three monographs in Springer as the first author: 《Fractal Control Theory》,《Fractal Control and Its Appllications》and 《Mathematical Principle and Fractal Analysis of Mesoscale Eddy》, and published more than 200 papers in top journals and other journals at home and abroad.
Li Zhang, Ph.D., Associate Professor of Business School, Shandong University of Political Science and Law.
Bibliographic Information
Book Title: Surface Chaos and Its Applications
Authors: Shu Tang Liu, Li Zhang
DOI: https://doi.org/10.1007/978-981-16-8229-2
Publisher: Springer Singapore
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Hardcover ISBN: 978-981-16-8228-5Published: 04 March 2022
Softcover ISBN: 978-981-16-8231-5Published: 05 March 2023
eBook ISBN: 978-981-16-8229-2Published: 03 March 2022
Edition Number: 1
Number of Pages: XVI, 393
Number of Illustrations: 14 b/w illustrations, 173 illustrations in colour
Topics: Control and Systems Theory, Systems Theory, Control, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Complex Systems