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Conley index methods detecting bifurcations in a modified van der Pol oscillator appearing in heart action models. (arXiv:1901.11180v1 [math.DS])
来源于:arXiv
In this paper, a modified van der Pol oscillator equation is considered which
appears in several heart action models. We study its global dynamics and verify
many interesting bifurcations such as a Hopf bifurcation, a heteroclinic saddle
connection, and a homoclinic saddle connection. Some of these bifurcations are
detected by using Conley index methods. We demonstrate how the study of
connection matrices and transition matrices shows how to select interesting
parameter values for simulations. 查看全文>>