Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits

By Jeroen S. W. Lamb, Oleg V Stenkin. 2004

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For reversible two-dimensional diffeomorphisms we establish a new type of Newhouse regions (regions of structural instability density). We prove that in these regions there exists a dense set of diffeomorphisms having, simultaneously, infinitely many stable, infinitely many unstable, and infinitely many elliptic type periodic orbits.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e9aedd1312407949af677c30636590684312f976