Collective behaviour of an ensemble of forced Duffing oscillators near the 1:1 resonance

DOI10.1016/0167-2789(94)00216-DzbMath0900.70321OpenAlexW2028895331MaRDI QIDQ1344709

V. Pereyra

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00216-d

zbMATH Keywords

method of averagingdetuning parameterequilibrium densityautonomous systemaccelerator physicsexternal frequencyguiding magnetic fieldslinearized natural frequencylong time limit of phase space density

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Motion of charged particles (78A35) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

Polarization fields and phase space densities in storage rings: stroboscopic averaging and the ergodic theorem

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Long-term bounds on nonlinear Hamiltonian motion
• A stochastic theory of adiabatic invariance
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