A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Preface 1. Hyperbolicity, stability and sensitive-chaotic dynamical systems 2. Examples of homoclinic orbits in dynamical systems 3. Dynamical consequences of a transverse homoclinic intersection 4. Homoclinic tangencies: cascades of bifurcations, scaling and quadratic maps 5. Cantor sets in dynamics and fractal dimensions 6. Homoclinic bifurcations: fractal dimensions and measure of bifurcation sets 7. Infinitely many sinks and homoclinic tangencies 8. Overview, conjectures and problems - a theory of homoclinic bifurcations - strange attractors Appendices References.
Preface 1. Hyperbolicity, stability and sensitive-chaotic dynamical systems 2. Examples of homoclinic orbits in dynamical systems 3. Dynamical consequences of a transverse homoclinic intersection 4. Homoclinic tangencies: cascades of bifurcations, scaling and quadratic maps 5. Cantor sets in dynamics and fractal dimensions 6. Homoclinic bifurcations: fractal dimensions and measure of bifurcation sets 7. Infinitely many sinks and homoclinic tangencies 8. Overview, conjectures and problems - a theory of homoclinic bifurcations - strange attractors Appendices References.
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