Approximations of the 3-particle Toda lattice

DOI10.1016/0167-2789(87)90083-2zbMath0614.58025OpenAlexW2045505033MaRDI QIDQ1819803

C. Polymilis, George Contopoulos

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90083-2

zbMATH Keywords

integrabilitystochastic behaviourenergy escape

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Stability theory for smooth dynamical systems (37C75)

Related Items (9)

Calculations of periodic trajectories for the Hénon–Heiles Hamiltonian using the monodromy method ⋮ Non-integrability of the fourth-order truncated Toda Hamiltonian ⋮ Non-integrability of the truncated Toda lattice Hamiltonian at any order ⋮ Examining the chaotic behavior in dynamical systems by means of the 0-1 test ⋮ Orbital behaviour transition from the Henon-Heiles to the three-particle Toda lattice Hamiltonian ⋮ Chaos in the case of two fixed black holes ⋮ A REVIEW STUDY OF THE 3-PARTICLE TODA LATTICE AND HIGHER-ORDER TRUNCATIONS: THE ODD-ORDER CASES — PART I ⋮ A REVIEW STUDY OF THE 3-PARTICLE TODA LATTICE AND HIGHER ORDER TRUNCATIONS: THE EVEN-ORDER CASES — PART II ⋮ Non-integrability and structure of the resonance zones in a class of galactic potentials

Cites Work

• On the Stability of Periodic Orbits for Nonlinear Oscillator Systems in Regions Exhibiting Stochastic Behavior

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