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Record Nr. |
UNINA9910811910503321 |
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Autore |
Jordan D. W (Dominic William) |
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Titolo |
Nonlinear ordinary differential equations [[electronic resource] ] : problems and solutions : a sourcebook for scientists and engineers / / D.W. Jordan and P. Smith |
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Pubbl/distr/stampa |
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Oxford, : Oxford University Press, 2007 |
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ISBN |
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1-383-03499-0 |
1-281-16088-1 |
9786611160883 |
0-19-152640-1 |
1-4356-1803-3 |
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Descrizione fisica |
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1 online resource (594 p.) |
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Collana |
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Oxford Texts in Applied and Engineering Mathematics ; ; v.No. 11 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Differential equations, Nonlinear |
Nonlinear theories |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Contents; 1 Second-order differential equations in the phase plane; 2 Plane autonomous systems and linearization; 3 Geometrical aspects of plane autonomous systems; 4 Periodic solutions; averaging methods; 5 Perturbation methods; 6 Singular perturbation methods; 7 Forced oscillations: harmonic and subharmonic response, stability, and entrainment; 8 Stability; 9 Stabilty by solution perturbation: Mathieu's equation; 10 Liapunov methods for determining stability of the zero solution; 11 The existence of periodic solutions; 12 Bifurcations and manifolds |
13 Poincaré sequences, homoclinic bifurcation, and chaosReferences |
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Sommario/riassunto |
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An ideal companion to the student textbook Nonlinear Ordinary Differential Equations 4th Edition (OUP, 2007) this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study. - ;An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear |
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