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Existence of a homoclinic point for the Henon map

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Publication:1139317
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DOI10.1007/BF01212713zbMath0433.58017OpenAlexW1990050876MaRDI QIDQ1139317

Boleslaw Szewc, Michał Misiurewicz

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01212713

zbMATH Keywords

transversal homoclinic pointHenon map of the plane


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic behavior (37D99)


Related Items

How often do simple dynamical processes have infinitely many coexisting sinks?, Dynamical quantities and their numerical analysis by saddle periodic orbits, A functional equation for a segment of the Hénon map unstable manifold, Transversal homoclinic points of a class of conservative diffeomorphisms, Existence of generic homoclinic tangencies for Hénon mappings, On Topological Entropy of Finite Representations of the Hénon Map, On computing the entropy of the Henon attractor, Homoclinic shadowing, Stable and unstable manifolds of the Henon mapping, Simple models for bifurcations creating horseshoes



Cites Work

  • Chaotic behavior in the Henon mapping
  • On the Henon transformation
  • A two-dimensional mapping with a strange attractor
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