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• W2165087643 abstract "An investigation of the nonlinear dynamics of a heart model is presented. The model compartmentalizes the heart into one part that beats autonomously (the x oscillator), representing the pacemaker or SA node, and a second part that beats only if excited by a signal originating outside itself (the y oscillator), representing typical cardiac tissue. Both oscillators are modeled by piecewise linear differential equations representing relaxation oscillators in which the fast time portion of the cycle is modeled by a jump. The model assumes that the x oscillator drives the y oscillator with coupling constant a .A sa decreases, the regular behavior of y oscillator deteriorates, and is found to go through a series of bifurcations. The irregular behavior is characterized as involving a large amplitude cycle followed by a number n of small amplitude cycles. We compute critical bifurcation values of the coupling constant, an, using both numerical methods as well as perturbations." @default.
• W2165087643 created "2016-06-24" @default.
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• W2165087643 date "2009-11-01" @default.
• W2165087643 modified "2023-09-26" @default.
• W2165087643 title "Origin of arrhythmias in a heart model" @default.
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• W2165087643 doi "https://doi.org/10.1016/j.cnsns.2009.03.016" @default.
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