Circle Maps and the Devil's Staircase in a Periodically Perturbed Oregonator

DOI10.1142/S0218127497001783zbMath0904.34029OpenAlexW2018762326WikidataQ61634800 ScholiaQ61634800MaRDI QIDQ4399452

Kedma Bar-Eli, Peter Gross, Morten Brøns

Publication date: 19 January 1999

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127497001783

zbMATH Keywords

periodic solutionsdiffeomorphismsoscillationsfrequency-locked stepsperiodically forced oregonator

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Low-dimensional dynamical systems (37E99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

• The scaling of Arnol'd tongues for differentiable homeomorphisms of the circle
• Scaling of the Arnold tongues
• Harmonic scaling for smooth families of diffeomorphisms of the circle
• Scaling Laws for Mode Lockings in Circle Maps