Pseudo-billiards

DOI10.1016/S0167-2789(97)00125-5zbMath0925.58023OpenAlexW2913356301MaRDI QIDQ1373928

N. E. Kulagin, V. G. Korolev, V. M. Eleonskii

Publication date: 26 November 1997

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00125-5

zbMATH Keywords

integrable systemscritical pointsHamiltonian dynamical systemscanonical equationsglobal chaosstochastic layers

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35)

Cites Work

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• On the ergodic properties of nowhere dispersing billiards
• Regular and chaotic dynamics.
• On small perturbations of stationary states in a nonlinear nonlocal model of a Josephson junction
• HOMOCLINIC ORBITS AND THEIR BIFURCATIONS IN DYNAMICAL SYSTEMS WITH TWO DEGREES OF FREEDOM: A METHOD OF QUALITATIVE AND NUMERICAL ANALYSIS
• Compactons: Solitons with finite wavelength
• Bifurcations of the trajectories at the saddle level in a Hamiltonian system generated by two coupled Schrödinger equations
• On chaotic dynamics in “pseudobilliard” Hamiltonian systems with two degrees of freedom

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