Discontinuous Dynamical Systems
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Beschreibung
“Discontinuous Dynamical Systems” presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mathematical foundation for a new dynamics of dynamical system networks. The book includes a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexity of flows in discontinuous dynamical systems are explored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexes in discontinuous dynamical systems with multi-valued vector fields is described in the book as a “billiard” theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can be used as a general principle in dynamical system networks, which is applied to dynamical system synchronization.
The book represents a valuable reference work for university professors and researchers in applied mathematics, physics, mechanics, and control.
Dr. Albert C.J. Luo is an internationally respected professor in nonlinear dynamics and mechanics, and he works at Southern Illinois University Edwardsville, USA.
This book presents a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely alter traditional concepts and ideas , and could form the foundation for a new understanding of dynamical system networks.
“Discontinuous Dynamical Systems” presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mathematical foundation for a new dynamics of dynamical system networks. The book includes a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexity of flows in discontinuous dynamical systems are explored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexes in discontinuous dynamical systems with multi-valued vector fields is described in the book as a “billiard” theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can be used as a general principle in dynamical system networks, which is applied to dynamical system synchronization.
The book represents a valuable reference work for university professors and researchers in applied mathematics, physics, mechanics, and control.
Dr. Albert C.J. Luo is an internationally respected professor in nonlinear dynamics and mechanics, and he works at Southern Illinois University Edwardsville, USA.
Presents a theory and mathematical methods for discontinuous dynamical systems
Provides useful mathematical tools to describe the natural complexity in practical dynamical systems
Presents a theory for dynamical systems with flow barriers for the first time
Challenges current existing theories of dynamical systems under Lipschitz conditions
Autor*in
Albert C. J. Luo
Themen in »Discontinuous Dynamical Systems«
Discontinuous dynamical systems Discontinuous dynamical systems Discontinuous vector fields Discontinuous vector fields Flow barriers Flow barriers Impulsive systems Impulsive systems System Interactions System Interactions
Stimmen zu »Discontinuous Dynamical Systems«
From the reviews:
“I highly recommend this book to both scientists and researchers as well as to university teachers and students with an interest in discontinuous dynamical systems, and I believe that the author has succeeded quite admirably with this book. … one of the first books that comprehensively discusses discontinuous dynamical systems and develops a theoretical framework in discontinuous dynamical systems.” (Marius-Florin Danca, Mathematical Reviews, September, 2013)()