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On separatrix splitting of some quadratic area-preserving maps of the plane

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Publication:1286768
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DOI10.1070/rd1998v003n01ABEH000060zbMath0924.58065MaRDI QIDQ1286768

V. L. Chernov

Publication date: 19 August 1999

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)


zbMATH Keywords

area-preserving mapschaotic trajectoryhomoclinic invariantunstable invariant curves


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items

Conservative homoclinic bifurcations and some applications ⋮ Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps ⋮ On stochastic sea of the standard map ⋮ Borel summation and splitting of separatrices for the Hénon map ⋮ Exponentially small separatrix splittings and almost invisible homoclinic bifurcations in some billiard tables



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