Nonlinear dynamics of the heartbeat. II: Subharmonic bifurcations of the cardiac interbeat interval in sinus node disease

DOI10.1016/0167-2789(85)90005-3zbMath0583.92006OpenAlexW1578796427MaRDI QIDQ1069458

Valmik Bhargava, Ary L. Goldberger, Bruce J. West, Arnold J. Mandell

Publication date: 1985

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90005-3

zbMATH Keywords

nonlinear dynamicsperiodic behaviorcardiac electrophysiologysubharmonic bifurcationscoupling of electronic relaxation oscillatorscoupling of oscillating pacemakerspathophysiological processessick sinus syndrome

Mathematics Subject Classification ID

Medical applications (general) (92C50) Physiological, cellular and medical topics (92Cxx)

Related Items (7)

Power laws and fractal behavior in nuclear stability, atomic weights and molecular weights ⋮ Nonlinear dynamics in cardiac conduction ⋮ Dimensional analysis of nonlinear oscillations in brain, heart, and muscle ⋮ Parameter-dependent transitions and the optimal control of dynamical diseases ⋮ Dynamic properties of cardiovascular systems ⋮ OBSERVATION OF A PERIOD DOUBLING BIFURCATION DURING ONSET OF HUMAN VENTRICULAR FIBRILLATION ⋮ Bifurcation structure of a periodically driven nerve pulse equation modelling cardiac conduction

Cites Work

• 1:1 and 2:1 phase entrainment in a system of two coupled limit cycle oscillators
• Symbolic dynamics and relaxation oscillations
• The universal metric properties of nonlinear transformations
• Nonlinear dynamics of the heartbeat. I: The AV junction: passive conduit or active oscillator?
• Regular and stochastic motion
• Frequency Entrainment of a Forced van der Pol Oscillator
• On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y ² )y˙ + y = b λk cos(λl + α), k Large

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