Multiple Time-Scales Dynamics of a Cardiac Pacemaker Model with Application to Heart Rhythm Modeling: Theoretical Study and FPGA Implementation

DOI10.1142/S0218127422501061zbMath1502.34094OpenAlexW4282825903WikidataQ114008550 ScholiaQ114008550MaRDI QIDQ5090089

Guy Chance Gildas Kuate, Jeanne Sandrine Mabekou Takam, Frank Xavier Ngagoum Tchamdjeu, Hilaire Fotsin

Publication date: 15 July 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422501061

zbMATH Keywords

harmonic balance methodFPGA implementationcardiac pacemakermultiple time scales methodheart rhythm modeling

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Cell biology (92C37) Theoretical approximation of solutions to functional-differential equations (34K07) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Nonautonomous smooth dynamical systems (37C60)

Uses Software

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Cites Work

• A new auto-switched chaotic system and its FPGA implementation
• An analysis of heart rhythm dynamics using a three-coupled oscillator model
• Nonlinear dynamics of the heartbeat. I: The AV junction: passive conduit or active oscillator?
• Determining Lyapunov exponents from a time series
• Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
• Numerical simulation of van der Pol equation using multiple scales modified Lindstedt-Poincaré method
• CCII and FPGA realization: a multistable modified fourth-order autonomous Chua's chaotic system with coexisting multiple attractors
• Complex dynamics induced by a sine nonlinearity in a five-term chaotic system: FPGA hardware design and synchronization
• Simulation of Heartbeat Dynamics: A Nonlinear Model
• A Model of Two Nonlinear Coupled Oscillators for the Study of Heartbeat Dynamics
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