Bifurcation structures of periodically forced oscillators

DOI10.1063/1.165854zbMath0900.92181OpenAlexW1969473343WikidataQ45943113 ScholiaQ45943113MaRDI QIDQ4390323

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Publication date: 24 September 1998

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

Full work available at URL: https://doi.org/10.1063/1.165854

Mathematics Subject Classification ID

Chemistry (92E99) Applications of dynamical systems (37N99)

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Cites Work

• Periodic solutions of a perturbed autonomous system
• Perturbation of a Hopf bifurcation by an external time-periodic forcing
• Global bifurcations of a periodically forced nonlinear oscillator
• Transition to topological chaos for circle maps
• Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
• Remarks on the perturbation theory for problems of Mathieu type
• The necessity of the Hopf bifurcation for periodically forced oscillators
• Periodic Solutions of Perturbed Autonomous Systems, and Locking-In

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