Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems

• Κύριος συγγραφέας: Hanβmann, Heinz (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes in Mathematics, 1893
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential equations.; Physics.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Global Analysis and Analysis on Manifolds.; Theoretical, Mathematical and Computational Physics.

Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, tor...

Πίνακας περιεχομένων:

• Bifurcations of Equilibria
• Bifurcations of Periodic Orbits
• Bifurcations of Invariant Tori
• Perturbations of Ramified Torus Bundles
• Planar Singularities
• Stratifications
• Normal Form Theory
• Proof of the Main KAM Theorem
• Proofs of the Necessary Lemmata.