Dynamics of three coupled limit cycle oscillators with vastly different frequencies

DOI10.1007/s11071-010-9852-xzbMath1280.34044OpenAlexW2153115014MaRDI QIDQ395188

Richard H. Rand, Hiba Sheheitli

Publication date: 29 January 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9852-x

zbMATH Keywords

coupled oscillatorsbifurcationsDPMmethod of direct partition of motion

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Characterization in bi-parameter space of a non-ideal oscillator ⋮ Dynamics of a mass-spring-pendulum system with vastly different frequencies

Cites Work

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• Averaging using elliptic functions: Approximation of limit cycles
• Effect of vertical high-frequency parametric excitation on self-excited motion in a delayed van der Pol oscillator
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Effect of fast harmonic excitation on a self-excited motion in van der Pol oscillator
• Hamiltonian systems with widely separated frequencies
• SLOW HIGH-FREQUENCY EFFECTS IN MECHANICS: PROBLEMS, SOLUTIONS, POTENTIALS

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