Hyperbolicity and Sensitive Chaotic Dynamics At Homoclinic Bifurcation - Fractal Dimensions and Infinitely Many Attractors in Dynamics

Zusammenfassung A self-contained introduction to the classical theory and its generalizations! aimed at mathematicians and scientists working in dynamical systems. Inhaltsverzeichnis 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.

Produktdetails

• Autoren: J. Palis, Jacob Palis, Jacob (Impa Palis, Jr. Jacob Kirwan Palis, Jr. Jacob Takens Palis, Palis Jacob, Floris Takens, Takens Floris
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 05.01.1995
• EAN: 9780521475723
• ISBN: 978-0-521-47572-3
• Seiten: 248
• Serien: Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations