Dynamics Beyond Uniform Hyperbolicity A Global Geometric and Probabilistic Perspective /

• Κύριοι συγγραφείς: Bonatti, Christian (Συγγραφέας), Díaz, Lorenzo J. (Συγγραφέας), Viana, Marcelo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Σειρά: Encyclopaedia of Mathematical Sciences, Mathematical Physics III, 102
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Physics.; Dynamical Systems and Ergodic Theory.; Analysis.; Mathematical Methods in Physics.

In broad terms, the goal of dynamics is to describe the long-term evolution of systems for which an "infinitesimal" evolution rule, such as a differential equation or the iteration of a map, is known. The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unif...

Πίνακας περιεχομένων:

• Hyperbolicity and Beyond
• One-Dimensional Dynamics
• Homoclinic Tangencies
• Hénon-like Dynamics
• Non-Critical Dynamics and Hyperbolicity
• Heterodimensional Cycles and Blenders
• Robust Transitivity
• Stable Ergodicity
• Robust Singular Dynamics
• Generic Diffeomorphisms
• SRB Measures and Gibbs States
• Lyapunov Exponents.