Analytically solvable dynamical systems which are not integrable

DOI10.1016/0167-2789(84)90135-0zbMath0597.58009OpenAlexW1995581766MaRDI QIDQ1079248

Bruno Eckhardt, Joseph J. III Ford, Franco Vivaldi

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90135-0

zbMATH Keywords

nonintegrable systems

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Deterministic diffusion in almost integrable systems, Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions, Global stability of a class of discontinuous dual billiards, The polygon quantum-billiard problem, Polygonal billiards: correspondence between classical trajectories and quantum eigenstates, A difference-equation formalism for the nodal domains of separable billiards, The Arnol'd cat: Failure of the correspondence principle, Statistical measures for eigenfunctions of nonseparable quantum billiard systems, Scars in nonintegrable and rational billiards., INTEGRABILITY, ENTROPY AND QUANTUM COMPUTATION, Self-similar correlations in a barrier billiard

Cites Work

• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• Stable and Random Motions in Dynamical Systems
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