000 | 03207nam a22005655i 4500 | ||
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001 | 978-1-4020-8724-0 | ||
003 | DE-He213 | ||
005 | 20161121231212.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 ne | s |||| 0|eng d | ||
020 |
_a9781402087240 _9978-1-4020-8724-0 |
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024 | 7 |
_a10.1007/978-1-4020-8724-0 _2doi |
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050 | 4 | _aQA611-614.97 | |
072 | 7 |
_aPBP _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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082 | 0 | 4 |
_a514 _223 |
100 | 1 |
_aFečkan, Michal. _eauthor. |
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245 | 1 | 0 |
_aTopological Degree Approach to Bifurcation Problems _h[electronic resource] / _cby Michal Fečkan. |
264 | 1 |
_aDordrecht : _bSpringer Netherlands, _c2008. |
|
300 |
_aIX, 261 p. 17 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 |
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490 | 1 |
_aTopological Fixed Point Theory and Its Applications ; _v5 |
|
505 | 0 | _aTheoretical Background -- Bifurcation of Periodic Solutions -- Bifurcation of Chaotic Solutions -- Topological Transversality -- Traveling Waves on Lattices -- Periodic Oscillations of Wave Equations -- Topological Degree for Wave Equations. | |
520 | _aTopological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: non-smooth mechanical systems with dry frictions; weakly coupled oscillators; systems with relay hysteresis; differential equations on infinite lattices of Frenkel-Kontorova and discretized Klein-Gordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations. Precise and complete proofs, together with concrete applications with many stimulating and illustrating examples, make this book valuable to both the applied sciences and mathematical fields, ensuring the book should not only be of interest to mathematicians but to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aMathematical analysis. | |
650 | 0 | _aAnalysis (Mathematics). | |
650 | 0 | _aDynamics. | |
650 | 0 | _aErgodic theory. | |
650 | 0 | _aTopology. | |
650 | 0 | _aMechanics. | |
650 | 0 | _aVibration. | |
650 | 0 | _aDynamical systems. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aTopology. |
650 | 2 | 4 | _aAnalysis. |
650 | 2 | 4 | _aDynamical Systems and Ergodic Theory. |
650 | 2 | 4 | _aMechanics. |
650 | 2 | 4 | _aVibration, Dynamical Systems, Control. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9781402087233 |
830 | 0 |
_aTopological Fixed Point Theory and Its Applications ; _v5 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4020-8724-0 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c510055 _d510055 |