Bifurcations in the slow-fluctuation technique

DOI10.1063/1.526528zbMath0566.70025OpenAlexW2017935365MaRDI QIDQ3681995

Ernst Breitenberger, Marijke F. Augusteijn

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526528

zbMATH Keywords

bifurcationsconservative, autonomous, nonlinear oscillatory systemconstant-amplitude motionsroot paritiesslow-fluctuation method

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Celestial mechanics (70F15)

Related Items (2)

Waves, bifurcations, and solitons in a model with sixfold symmetry ⋮ On resonant classical Hamiltonians with n frequencies

Cites Work

• Bifurcation in a complex-valued wave-field model
• Normal form and representation theory
• Integration of near-resonant systems in slow-fluctuation approximation
• The elastic pendulum: A nonlinear paradigm
• Stability of constant-amplitude motions in slow-fluctuation approximation
• Root parities and phase behavior in the slow-fluctuation technique
• Stability and motion in two degree-of-freedom hamiltonian systems for two-to-one commensurability

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