000			03740nam a22005175i 4500
001			978-0-387-48918-6
003			DE-He213
005			20250710084003.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387489186 _a99780387489186
024	7		_a10.1007/978-0-387-48918-6 _2doi
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aSanders, Jan A. _eauthor.
245	1	0	_aAveraging Methods in Nonlinear Dynamical Systems _h[recurso electrónico] / _cby Jan A. Sanders, Ferdinand Verhulst, James Murdock.
264		1	_aNew York, NY : _bSpringer New York, _c2007.
300			_aXXIII, 431 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied Mathematical Sciences, _x0066-5452 ; _v59
505	0		_aBasic Material and Asymptotics -- Averaging: the Periodic Case -- Methodology of Averaging -- Averaging: the General Case -- Attraction -- Periodic Averaging and Hyperbolicity -- Averaging over Angles -- Passage Through Resonance -- From Averaging to Normal Forms -- Hamiltonian Normal Form Theory -- Classical (First-Level) Normal Form Theory -- Nilpotent (Classical) Normal Form -- Higher-Level Normal Form Theory -- The History of the Theory of Averaging -- A 4-Dimensional Example of Hopf Bifurcation -- Invariant Manifolds by Averaging -- Some Elementary Exercises in Celestial Mechanics -- On Averaging Methods for Partial Differential Equations.
520			_aPerturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added. Review of First Edition "One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aDIFFERENTIABLE DYNAMICAL SYSTEMS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aDYNAMICAL SYSTEMS AND ERGODIC THEORY.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aMATHEMATICAL AND COMPUTATIONAL PHYSICS.
650	2	4	_aANALYSIS.
700	1		_aVerhulst, Ferdinand. _eauthor.
700	1		_aMurdock, James. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387489162
830		0	_aApplied Mathematical Sciences, _x0066-5452 ; _v59
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-48918-6 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57809 _d57809