000 | 03557nam a22004815i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-1-4614-1524-4 _2doi |
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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. |
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aNonlinear Systems and Complexity, _x2195-9994 ; _v1 |
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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 |