A Model of Two Nonlinear Coupled Oscillators for the Study of Heartbeat Dynamics

DOI10.1142/S0218127498001637zbMath0936.92016OpenAlexW2015450818WikidataQ58052082 ScholiaQ58052082MaRDI QIDQ4941356

Diego di Bernardo, Maria G. Signorini, Sergio Cerutti

Publication date: 25 May 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127498001637

zbMATH Keywords

nonlinear coupled oscillatorsheart rate controlheart rhythm generationheartbeat pathologies

Mathematics Subject Classification ID

Medical applications (general) (92C50) Physiology (general) (92C30)

Related Items (11)

Rhythmic behaviors of the human heart with piecewise derivative ⋮ Multiple Time-Scales Dynamics of a Cardiac Pacemaker Model with Application to Heart Rhythm Modeling: Theoretical Study and FPGA Implementation ⋮ Nonlinear dynamics of a periodically driven Duffing resonator coupled to a van der Pol oscillator ⋮ Transient chaos in two coupled, dissipatively perturbed Hamiltonian Duffing oscillators ⋮ Positive invariant regions for a modified Van der Pol equation modeling heart action ⋮ A new three-oscillator model for the heart system in the case of time delay and designing appropriate controller for its synchronization ⋮ Robust master-slave synchronization of neuronal systems ⋮ Controlling nonlinear waves in excitable media ⋮ Adaptive output tracking of driven oscillators ⋮ A preliminary study into emergent behaviours in a lattice of interacting nonlinear resonators and oscillators ⋮ Nonlinear oscillator model reproducing various phenomena in the dynamics of the conduction system of the heart

Cites Work

• 1:1 and 2:1 phase entrainment in a system of two coupled limit cycle oscillators
• 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
• BIFURCATIONS IN A DISCONTINUOUS CIRCLE MAP: A THEORY FOR A CHAOTIC CARDIAC ARRHYTHMIA
• A universal circuit for studying and generating chaos. I. Routes to chaos

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