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_c38201 _d38201 |
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| 003 | CO-NeUS | ||
| 005 | 20210812090820.0 | ||
| 008 | 150521m19832002xxud f |||| 00| 0 eng d | ||
| 020 | _a9781461270201 | ||
| 040 |
_aCO-NeUS _bspa _erda |
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| 041 | _aeng | ||
| 100 | 1 |
_aGuckenheimer, John _947910 _eaut |
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| 245 | 1 | 0 |
_aNonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields / _cJohn Guckenheimer, Philip Holmes |
| 250 | _aCorrected seventh printing | ||
| 264 |
_aNew York : _bSpringer, _c♭1983 _c2002 |
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| 300 |
_axvi, 459 pg̀inas : ilustraciones _c24 cm. |
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| 336 |
_2rdacontent _atxt |
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| 337 |
_2rdamedia _an _bn |
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| 338 |
_2rda _anc _bnc |
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| 347 | _2rda | ||
| 490 |
_aApplied Mathematical Sciences _v42 _994657 |
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| 504 | _aIncludes bibliographical references (p. [437]-454) and index. | ||
| 505 | _aIntroduction: Differential Equations and Dynamical Systems -- An Introduction to Chaos: Four Examples -- Local Bifurcations -- Averaging and Perturbation from a Geometric Viewpoint -- Hyperbolic Sets, Symbolic Dynamics, and Strange Attraction -- Global Bifurcations -- Local Codimension Two Bifurcation on Flows -- | ||
| 520 | _a"This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2 | ||
| 520 | _a | ||
| 700 | 1 |
_aHolmes, Philip _950219 _eaut |
|
| 830 |
_994657 _aApplied Mathematical Sciences |
||
| 082 | 0 | 4 |
_221 _a515.352 / _bG933n |
| 650 |
_aNonlinear oscillations _9117750 |
||
| 650 |
_aDifferentiable dynamical systems _9106892 |
||
| 650 |
_aBifurcation theory _9101785 |
||
| 650 |
_aVector fields _9134408 |
||
| 650 |
_aOscilaciones no lineales _9118377 |
||
| 650 |
_aTeoria de la bifurcacion _9132993 |
||
| 650 |
_aCampos vectoriales _9102411 |
||
| 650 |
_aSistemas dinamicos diferenciables _9132035 |
||
| 942 |
_cCG _2ddc _h515.352 / _kG933n |
||