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

DOI10.1007/BF02154750zbMath0489.92007WikidataQ41621261 ScholiaQ41621261MaRDI QIDQ1167078

Leon Glass, Michael R. Guevara

Publication date: 1982

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

zbMATH Keywords

chaoslimit cycleperiod doubling bifurcationsphase lockingbiological oscillatorsPoincare mapgeneration of cardiac dysrhythmiasperiodically driven oscillator

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Medical applications (general) (92C50) Communication, information (94A99) Control/observation systems governed by ordinary differential equations (93C15) General biology and biomathematics (92B05)

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