Rotation numbers of periodic orbits in the Hénon map

DOI10.1007/BF01223208zbMath0729.58032OpenAlexW1975597044MaRDI QIDQ806132

Kathleen T. Alligood, Timothy Sauer

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223208

zbMATH Keywords

periodic orbitsrotation numberhomoclinic tangencyHenon mapcontraction of areaplane diffeomorphism

Mathematics Subject Classification ID

Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items

Optimal escape from potential wells -- patterns of regular and chaotic bifurcation, Wada basin boundaries and basin cells, Backbones in the parameter plane of the Hénon map, Accessible saddles on fractal basin boundaries, Bifurcations and chaos in a three-dimensional generalized Hénon map, FRACTAL PARAMETERS FOR THE STUDY OF HÉNON-LIKE ATTRACTORS, Periodicity and Decomposability of Basin Boundaries with Irrational Maps on Prime Ends, Explosions of chaotic sets, Outer Tangency Bifurcations of Chaotic Sets, Once more on Hénon map: analysis of bifurcations.

Cites Work

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