Positive invariant regions for a modified Van der Pol equation modeling heart action

DOI10.1016/J.AMC.2022.127732OpenAlexW4225492339MaRDI QIDQ2700350

Yanyan Li

Publication date: 21 April 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00058

zbMATH Keywords

Van der Pol equationheart actionapproximate invariant regionselectrocardiographic signal

Mathematics Subject Classification ID

Applications of dynamical systems (37Nxx) Qualitative theory for ordinary differential equations (34Cxx) Physiological, cellular and medical topics (92Cxx)

Cites Work

• Unnamed Item
• Nonlinear dynamics of the heartbeat. I: The AV junction: passive conduit or active oscillator?
• A modified van der Pol equation with delay in a description of the heart action
• Nonlinear oscillator model reproducing various phenomena in the dynamics of the conduction system of the heart
• A Model of Two Nonlinear Coupled Oscillators for the Study of Heartbeat Dynamics

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