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

1982/03/01 by Michael R. Guevara, Leon Glass · 3 citations
Computer Science · Mathematics · Medicine · Neuroscience · #Amplitude #Bifurcation #Cardiac electrophysiology and arrhythmias #Chaotic #Computer science #Control theory (sociology) #Entrainment (biomusicology) #Mathematical analysis #Mathematics #Neural dynamics and brain function #Neuroscience #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Period-doubling bifurcation #Phase (matter) #Phase locking #Phase response curve #Physics #Poincaré map #Quantum mechanics #Rhythm #Statistical physics

paper · doi:10.1007/bf02154750

crossref issued 1982/03/01 · crossref published 1982/03/01 · crossref published-print 1982/03/01 · openalex publication_date 1982/03/01 · crossref created 2005/09/16 · crossref deposited 2020/04/09 · openalex created_date 2025/10/10 · crossref indexed 2026/04/30 · openalex updated_date 2026/07/23

Citations

• A quantitative description of membrane current and its application to conduction and excitation in nerve
• LXXII.The heartbeat considered as a relaxation oscillation, and an electrical model of the heart
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Cited by

• Fine Structure of Phase Locking
• Success rate analysis of the response of an excitable laser to periodic perturbations
• Arnold tongue [wikipedia]