000 03557nam a22004815i 4500
001 978-1-4614-1524-4
003 DE-He213
005 20140220083242.0
007 cr nn 008mamaa
008 130530s2012 xxu| s |||| 0|eng d
020 _a9781461415244
_9978-1-4614-1524-4
024 7 _a10.1007/978-1-4614-1524-4
_2doi
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aLuo, Albert C. J.
_eauthor.
245 1 0 _aRegularity and Complexity in Dynamical Systems
_h[electronic resource] /
_cby Albert C. J. Luo.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2012.
300 _aXI, 497 p. 196 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNonlinear Systems and Complexity,
_x2195-9994 ;
_v1
505 0 _aNonlinear Continuous Dynamical Systems -- Nonlinear Discrete Dynamical Systems -- Chaos and Multifractality -- Complete Dynamics and Synchronization -- Switching Dynamical Systems -- Mapping Dynamics and Symmetry -- Appendix A. Linear Continuous Dynamical Systems -- Appendix B. Linear Discrete Dynamical Systems.
520 _aRegularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive,discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually,the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems. This book also: Illustrates new concepts and methodology in discontinuous dynamical systems Uses different ideas to describe complicated dynamical systems in real worlds Discuss the complete dynamics and the corresponding Ying-Yang theory as well as  complexity and factuality of chaos in dynamical systems Discusses the mechanism of chaos and diffusion in impulsive systems Discusses strange attractor fragmentation and hidden mathematical structures Contains intuitive illustrations and systematical description as well as complete example demonstrations Regularity and Complexity in Dynamical Systems is an ideal book for those interested in better understanding complexity and chaos caused by nonlinearity, discontinuity, switching, and impulses.
650 0 _aEngineering.
650 0 _aEngineering mathematics.
650 1 4 _aEngineering.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aComplex Systems.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aNonlinear Dynamics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461415237
830 0 _aNonlinear Systems and Complexity,
_x2195-9994 ;
_v1
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1524-4
912 _aZDB-2-ENG
999 _c101086
_d101086