000 03207nam a22005655i 4500
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
024 7 _a10.1007/978-1-4020-8724-0
_2doi
050 4 _aQA611-614.97
072 7 _aPBP
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514
_223
100 1 _aFečkan, Michal.
_eauthor.
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.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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