John Guckenheimer,
Philip Holmes
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Gebonden Engels 2002 1e druk 9780387908199Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
Specificaties
ISBN13:9780387908199
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:462
Uitgever:Springer New York
Druk:1
Lezersrecensies
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Inhoudsopgave
Chapter 1: Introduction: Differential Equations and Dynamical Systems * Chapter 2: An Introduction to Chaos: Four Examples * Chapter 3: Local Bifurcations * Chapter 4: Averaging and Perturbation from a Geometric Viewpoint * Chapter 5: Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors * Chapter 6: Global Bifurcations * Chapter 7: Local Codimension Two Bifurcations of Flows * Appendix * Suggestions for Further Reading * Postscript Added at Second Printing * Glossary * References * Index
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