000 03157nam a22004695i 4500
001 978-3-642-22461-4
003 DE-He213
005 20140220083259.0
007 cr nn 008mamaa
008 120407s2012 gw | s |||| 0|eng d
020 _a9783642224614
_9978-3-642-22461-4
024 7 _a10.1007/978-3-642-22461-4
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTEC004000
_2bisacsh
082 0 4 _a519
_223
100 1 _aLuo, Albert C. J.
_eauthor.
245 1 0 _aDiscontinuous Dynamical Systems
_h[electronic resource] /
_cby Albert C. J. Luo.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXI, 692 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
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.
650 0 _aMathematics.
650 0 _aSystems theory.
650 0 _aVibration.
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aNonlinear Dynamics.
650 2 4 _aVibration, Dynamical Systems, Control.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642224607
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-22461-4
912 _aZDB-2-SMA
999 _c102055
_d102055