Franks, John; Le Calvez, Patrice Regions of instability for non-twist maps. (English) Zbl 1140.37331 Ergodic Theory Dyn. Syst. 23, No. 1, 111-141 (2003). 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. Cited in 1 ReviewCited in 26 Documents 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 \textit{J. Franks} and \textit{P. Le Calvez}, Ergodic Theory Dyn. Syst. 23, No. 1, 111--141 (2003; Zbl 1140.37331) Full Text: DOI