000			03013nam a22004815i 4500
001			978-3-540-39150-0
003			DE-He213
005			20160624101813.0
007			cr nn 008mamaa
008			121227s1988 gw | s |||| 0|eng d
020			_a9783540391500 _9978-3-540-39150-0
024	7		_a10.1007/BFb0082943 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aFiedler, Bernold. _eauthor.
245	1	0	_aGlobal Bifurcation of Periodic Solutions with Symmetry _h[electronic resource] / _cby Bernold Fiedler.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988.
300			_aX, 154 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1309
505	0		_aMain results -- No symmetry — a survey -- Virtual symmetry -- Generic local theory -- Generic global theory -- General global theory -- Applications -- Discussion -- Appendix on genericity.
520			_aThis largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aMathematical and Computational Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540192343
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1309
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0082943
942			_2EBK1003 _cEBK
999			_c30297 _d30297