Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields - John Guckenheimer
KORTE INHOUD
From the reviews: "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 t...
Categorie
Details
1983Uitgever: Springer-Verlag New York Inc.453 paginasTaal: EngelsISBN-10: 0387908196ISBN-13: 9780387908199Koop dit boek tweedehands
bij volgende verkopers
Original boards, illustrated with numerous equations, graphs and diagrams, 8vo. Applied Mathematical Sciences, 42. [Auteur: Guckenheimer, John & Philip Holmes] [Pagina's: 459] [Taal: en] [Uitgever: New York, NY : Springer] [Jaar: 1983] [Titel: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields]
