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Coexistence of stable and random motion

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Publication:1243935
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DOI10.1216/RMJ-1977-7-3-445zbMath0369.58017OpenAlexW2037688198MaRDI QIDQ1243935

S. Sacolick, David L. Rod, Richard C. Churchill, Giampiero Pecelli

Publication date: 1977

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1977-7-3-445



Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)


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Calculations of periodic trajectories for the Hénon–Heiles Hamiltonian using the monodromy method ⋮ Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat ⋮ Pathology in dynamical systems. III: Analytic Hamiltonians ⋮ Stability transitions for periodic orbits in Hamiltonian systems ⋮ On averaging, reduction, and symmetry in Hamiltonian systems ⋮ Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center ⋮ Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature *




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