Global bifurcations of a periodically forced nonlinear oscillator

DOI10.1007/BF00277669zbMath0573.92005OpenAlexW2085165830WikidataQ52698009 ScholiaQ52698009MaRDI QIDQ1062930

James P. Keener, Leon Glass

Publication date: 1984

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00277669

zbMATH Keywords

chaosphase-lockingtopological degreeglobal bifurcationslimit setsperiod doubling bifurcationsphase transition curvebiological oscillationsisolated stable limit cycleisolated unstable singular pointperiodic stimulationradial isochron clockRICtwo-dimensional ordinary differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) General biology and biomathematics (92B05)

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