The dynamics of phase locking and points of resonance in a forced magnetic oscillator

DOI10.1016/0167-2789(87)90102-3zbMath0654.34035OpenAlexW2020763444MaRDI QIDQ1108443

Carson Jeffries, Paul Bryant

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90102-3

zbMATH Keywords

Hopf bifurcationHamiltonian systemshomoclinic bifurcationsmagnetic hysteresisforced symmetric oscillatorsaturable inductorsymmetric breaking bifurcations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical systems and ergodic theory (37-XX)

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Cites Work

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• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcation into invariant tori at points of resonance
• Regular and stochastic motion
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Bifurcations of the forced van der Pol oscillator
• LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
• ON THE TRANSFORMATIONS OF SINGULARITIES AND LIMIT CYCLES OF THE VARIATIONAL EQUATIONS OF VAN DER POL