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Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers /

An ideal companion to the new 4th Edition of <em/>Nonlinear Ordinary Differential Equations " by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jordan, D. W. (Dominic William)
Otros Autores: Smith, Peter, 1935-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Oxford University Press, 2007.
Colección:Oxford texts in applied and engineering mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Jordan, D. W.  |q (Dominic William) 
245 1 0 |a Nonlinear ordinary differential equations :  |b problems and solutions : a sourc\\ Ebook for scientists and engineers /  |c D.W. Jordan and P. Smith. 
260 |a Oxford ;  |a New York :  |b Oxford University Press,  |c 2007. 
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504 |a Includes bibliographical references. 
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520 |a An ideal companion to the new 4th Edition of <em/>Nonlinear Ordinary Differential Equations " by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in <em/>Nonlinear Ordinary Differential Equations " 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences. 
505 0 |a 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 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Differential equations, Nonlinear  |v Problems, exercises, etc. 
650 6 |a Équations différentielles non linéaires  |v Problèmes et exercices. 
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650 7 |a Differential equations, Nonlinear  |2 fast 
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655 7 |a Problems and exercises  |2 fast 
700 1 |a Smith, Peter,  |d 1935- 
776 0 8 |i Print version:  |a Jordan, D.W. (Dominic William).  |t Nonlinear ordinary differential equations.  |d Oxford ; New York : Oxford University Press, 2007  |w (DLC) 2008295712 
830 0 |a Oxford texts in applied and engineering mathematics. 
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