Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case

DOI10.1016/0167-2789(82)90027-6zbMath1194.37128OpenAlexW2014588922MaRDI QIDQ995163

Philip J. Holmes

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(82)90027-6

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99)

Related Items

The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system, Calculations of periodic trajectories for the Hénon–Heiles Hamiltonian using the monodromy method, Nonintegrability of some Hamiltonian systems, scattering and analytic continuation, The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness, Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation, Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities, Melnikov's method, stochastic layers and nonintegrability of a perturbed Duffing-oscillator, Periodic Solutions, Stability and Non-Integrability in a Generalized Hénon-Heiles Hamiltonian System, Periodic orbits and non-integrability in a cosmological scalar field, Dynamics of a galactic Hamiltonian system

Cites Work

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