000			02667nam a22004333i 4500
001			EBC3092825
003			MiAaPQ
005			20240729124506.0
006			m o d |
007			cr cnu||||||||
008			240724s1996 xx o ||||0 eng d
020			_a9783642614538 _q(electronic bk.)
020			_z9783540609346
035			_a(MiAaPQ)EBC3092825
035			_a(Au-PeEL)EBL3092825
035			_a(CaPaEBR)ebr10965221
035			_a(OCoLC)936312184
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA299.6-433
100	1		_aVerhulst, Ferdinand.
245	1	0	_aNonlinear Differential Equations and Dynamical Systems.
250			_a2nd ed.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin / Heidelberg, _c1996.
264		4	_c©1996.
300			_a1 online resource (314 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aUniversitext Series
505	0		_aUniversitext -- Nonlinear Differential Equations and Dynamical Systems -- Copyright -- Preface -- Contents -- 1 Introduction -- 2 Autonomous equations -- 3 Critical points -- 4 Periodic solutions -- 5 Introduction to the theory of stability -- 6 Linear Equations -- 7 Stability by linearisation -- 8 Stability analysis by the direct method -- 9 Introduction to perturbation theory -- 10 The Poincaré-Lindstedt method -- 11 The method of averaging -- 12 Relaxation Oscillations -- 13 Bifurcation Theory -- 14 Chaos -- 15 Hamiltonian systems -- Appendix 1: The Morse lemma -- Appendix 2: Linear periodic equations with a small parameter -- Appendix 3: Trigonometric formulas and averages -- Appendix 4: A sketch of Cotton's proof of the stable and unstable manifold theorem 3.3 -- Appendix 5: Bifurcations of self-excited oscillations -- Appendix 6: Normal forms of Hamiltonian systems near equilibria -- Answers and hints to the exercises -- References -- Index.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aDifferential equations, Nonlinear.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aVerhulst, Ferdinand _tNonlinear Differential Equations and Dynamical Systems _dBerlin, Heidelberg : Springer Berlin / Heidelberg,c1996 _z9783540609346
797	2		_aProQuest (Firm)
830		0	_aUniversitext Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3092825 _zClick to View
999			_c67612 _d67612