Global analysis of periodic orbit bifurcations in coupled Morse oscillator systems: time-reversal symmetry, permutational representations and codimension-2 collisions

DOI10.1063/1.166466zbMath0996.37067OpenAlexW2102342943WikidataQ73464040 ScholiaQ73464040MaRDI QIDQ2727140

Gregory S. Ezra, Masa Tsuchiya

Publication date: 15 August 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/dba01e01bd029a1e9d202d753c452856a6afa248

zbMATH Keywords

time-reversal symmetrycoupled Morse oscillatorsiteration of symmetry linesperiodic orbit bifurcation sequences

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Cites Work

• Dynamical averaging in terms of periodic orbits
• Universal behaviour in families of area-preserving maps
• Resonances in area-preserving maps
• Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
• Orbit bifurcations and spectral statistics

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