Del 1893 - Lecture Notes in Mathematics
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
Results and Examples
Häftad, Engelska, 2006
639 kr
Beställningsvara. Skickas inom 7-10 vardagar
Fri frakt för medlemmar vid köp för minst 249 kr.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, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way.
Produktinformation
- Utgivningsdatum2006-10-05
- Mått155 x 235 x undefined mm
- SpråkEngelska
- SerieLecture Notes in Mathematics
- Antal sidor242
- FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
- EAN9783540388944