Hyperbolic invariant sets of the real generalized Hénon maps
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Publication:621552
DOI10.1016/J.CHAOS.2010.07.003zbMath1221.37052OpenAlexW2077684023MaRDI QIDQ621552
Publication date: 26 January 2011
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2010.07.003
Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
Related Items (4)
Homoclinic points of 2D and 4D maps via the parametrization method ⋮ Complicated behavior in cubic Hénon maps ⋮ Recent results on the dynamics of higher-dimensional Hénon maps ⋮ Chaotic Polynomial Maps
Cites Work
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- Real polynomial diffeomorphisms with maximal entropy: tangencies
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- The boundary of hyperbolicity for Hénon-like families
- Dynamical properties of plane polynomial automorphisms
- Polynomial diffeomorphisms of C 2. VIII: quasi-expansion
- Polynomial diffeomorphisms of C2: VII. Hyperbolicity and external rays
- Some hyperbolicity results for Henon-like diffeomorphisms
- Solution of the basin problem for Hénon-like attractors
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