On a homoclinic origin of Hénon-like maps
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Publication:618228
DOI10.1134/S1560354710040052zbMath1203.37035MaRDI QIDQ618228
L. P. Shil'nikov, V. S. Gonchenko, Sergey V. Gonchenko
Publication date: 14 January 2011
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)
Related Items (10)
Backbones in the parameter plane of the Hénon map ⋮ Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies ⋮ Antisymmetric diffeomorphisms and bifurcations of a double conservative Hénon map ⋮ Scenarios for the creation of hyperchaotic attractors in 3D maps ⋮ Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system ⋮ Shilnikov attractors in three-dimensional orientation-reversing maps ⋮ THE GENERALIZED TIME-DELAYED HÉNON MAP: BIFURCATIONS AND DYNAMICS ⋮ Maps close to identity and universal maps in the Newhouse domain ⋮ On discrete Lorenz-like attractors ⋮ HÉNON MAP: SIMPLE SINKS GAINING COEXISTENCE AS b → 1
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