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Higher-order Melnikov method and chaos for two-degree-of-freedom Hamiltonian systems with saddle-centers

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Publication:628776
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DOI10.3934/dcds.2011.29.387zbMath1213.37092OpenAlexW2328149770MaRDI QIDQ628776

Kazuyuki Yagasaki

Publication date: 7 March 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.29.387


zbMATH Keywords

chaosHamiltonian systemHénon-Heiles systemMelnikov methodSmale horseshoesaddle-center


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (5)

Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows ⋮ High-order Melnikov method for time-periodic equations ⋮ Chaotic heteroclinic tangles with the degenerate Melnikov function ⋮ Chebyshev spectral methods for computing center manifolds ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. I. Saddle-centers in two-degree-of-freedom Hamiltonians


Uses Software

  • Dynamics



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