Multidimensional Hamiltonian chaos

DOI10.1063/1.165822zbMath0899.58044OpenAlexW2010445303WikidataQ35142482 ScholiaQ35142482MaRDI QIDQ4390265

L. P. Shil'nikov

Publication date: 9 November 1998

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165822

zbMATH Keywords

singular pointsHamiltonian systemsMelnikov's methodmonoclinic orbitsnontrivial hyperbolic sets

Mathematics Subject Classification ID

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

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Cites Work

• Homoclinic orbits in Hamiltonian systems
• Horseshoes for autonomous Hamiltonian systems using the Melnikov integral
• On the behaviour of a Hamiltonian system in a neighbourhood of the transversal homoclinic orbit of a saddle-focus