Fractal Control and Its Applications
Autor Shu Tang Liu, Yong Ping Zhang, Chang An Liuen Limba Engleză Hardback – 12 iul 2020
Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications.
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Specificații
ISBN-13: 9789811554582
ISBN-10: 9811554587
Pagini: 372
Ilustrații: XVI, 353 p. 209 illus., 92 illus. in color.
Dimensiuni: 160 x 241 x 26 mm
Greutate: 0.67 kg
Ediția:1st ed. 2020
Editura: Springer
Locul publicării:Singapore, Singapore
ISBN-10: 9811554587
Pagini: 372
Ilustrații: XVI, 353 p. 209 illus., 92 illus. in color.
Dimensiuni: 160 x 241 x 26 mm
Greutate: 0.67 kg
Ediția:1st ed. 2020
Editura: Springer
Locul publicării:Singapore, Singapore
Cuprins
Introduction.- New Characteristics about the Fractal Control Theory.- Fractal Control and Synchronization of Classical Model.- Control and Synchronization of Julia Sets Generated by a Class of Complex Time-Delay Rational MAP.- Control and Synchronization of Spatial Fractals.- Fractal Phenomena and Control in Economical Models.- Control of Julia Sets in Complex Physical Systems.- Applications of Fractal Control in Biologies.- Control of the Thermal Fractal Diffusion Systems.- Fractal Analysis and Control of the SIRS Models.- Application of Fractal Control in Other Fields.- References
Notă biografică
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.
She received the B.S. degree in mathematics and applied mathematics from Jinan University in 2003, an M.S. degree from Shandong University in 2006 and the Ph.D. degree from Shandong University in 2011, China. Her current research interests are control theory of chaos, fractal in social, financial and economic systems and its applications. She, with co-authors, has published 9 journal papers like SIAM Journal on Applied Dynamical Systems, Nonlinear Dynamics, Communications in Nonlinear Science and Numerical Simulation, Fractals, International Journal of Bifurcation and Chaos and 7 conference papers.
Textul de pe ultima copertă
The book focuses on fractal control and applications in various fields. Fractal phenomena occur in nonlinear models, and since the behaviors depicted by fractals need to be controlled in practical applications, an understanding of fractal control is necessary. This book introduces readers to Julia set fractals and Mandelbrot set fractals in a range of models, such as physical systems, biological systems and SIRS models, and discusses controllers designed to control these fractals. Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems.
Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications.
Caracteristici
Discusses the theory and applications of fractal control in various fields Covers fractal control in a variety of models Provides an in-depth overview of fractal control and its applications