Necessary conditions for the existence of heteroclinic trajectories in an integral Hamiltonian system with two degrees of freedom

DOI10.1070/RM1983V038N05ABEH003513zbMath0582.70023OpenAlexW2058071545MaRDI QIDQ3704952

Publication date: 1983

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1983v038n05abeh003513

zbMATH Keywords

singular points orbits limit sets integrals of motion closed trajectories integral manifolds heteroclinic Poisson action analytic 4-dimensional symplectic manifold

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Hamilton's equations (70H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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