×

zbMATH — the first resource for mathematics

Regions of instability for non-twist maps. (English) Zbl 1140.37331
Summary: We consider an analog of the regions of instability for twist maps in the context of area preserving diffeomorphisms which are not twist maps. Several properties analogous to those of classical regions of instability are proved.

MSC:
37E30 Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
37C20 Generic properties, structural stability of dynamical systems
37J10 Symplectic mappings, fixed points (dynamical systems) (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI