02818nmm a2200337 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002200139245008200161250001700243260006300260300006400323505034400387653001800731653002400749653001400773653002200787653001300809653002800822653005600850653004200906710003400948041001900982989003601001856007201037082000801109520136301117EB000387319EBX0100000000000000024037100000000000000.0cr|||||||||||||||||||||130626 ||| eng a97836422246141 aLuo, Albert C. J.00aDiscontinuous Dynamical SystemshElektronische Ressourcecby Albert C. J. Luo a1st ed. 2012 aBerlin, HeidelbergbSpringer Berlin Heidelbergc2012, 2012 aXI, 692 p. 220 illus., 170 illus. in colorbonline resource0 aIntroduction -- 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 aSystem theory aStatistical physics aVibration aDynamical systems aDynamics aSystems Theory, Control aApplications of Nonlinear Dynamics and Chaos Theory aVibration, Dynamical Systems, Control2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005- uhttps://doi.org/10.1007/978-3-642-22461-4?nosfx=yxVerlag3Volltext0 a519 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.