Discontinuous Dynamical Systems

“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 discon...

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Main Author: Luo, Albert C. J.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012, 2012
Edition:1st ed. 2012
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Discontinuous Dynamical Systems  |h Elektronische Ressource  |c by Albert C. J. Luo 
250 |a 1st ed. 2012 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2012, 2012 
300 |a XI, 692 p. 220 illus., 170 illus. in color  |b online resource 
505 0 |a Introduction -- Introduction to Flow Passability -- Singularity and Flow Passability -- Flow Barriers and Switchability -- Transport Laws and Multi-valued Vector Fields -- Switchability and Attractivity of Domain Flows -- Dynamics and Singularity of Boundary Flows -- Edge Dynamics and Switching Complexity -- Dynamical System Interactions 
653 |a System theory 
653 |a Statistical physics 
653 |a Vibration 
653 |a Dynamical systems 
653 |a Dynamics 
653 |a Systems Theory, Control 
653 |a Applications of Nonlinear Dynamics and Chaos Theory 
653 |a Vibration, Dynamical Systems, Control 
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989 |b Springer  |a Springer eBooks 2005- 
856 |u https://doi.org/10.1007/978-3-642-22461-4?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 519 
520 |a “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.