ON TWO-DIMENSIONAL DYNAMICAL SYSTEMS ASSOCIATED WITH MEMBRANE KINETICS UNDERLYING CARDIAC ARRHYTHMIAS

DOI10.1142/S0218127409023792zbMath1168.34331MaRDI QIDQ3394433

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Publication date: 31 August 2009

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

zbMATH Keywords

cardiac arrhythmiapiecewise smooth dynamical systemsalternanscostability of orbits

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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DYNAMICS OF A DISCRETE-TIME MODEL OF AN "IDEAL-STORAGE" SYSTEM DESCRIBING HETERO-CATALYTIC PROCESSES ON METAL SURFACES

Cites Work

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• A two-current model for the dynamics of cardiac membrane
• Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map
• Period-adding bifurcations in a one parameter family of interval maps
• A DYNAMICAL SYSTEMS APPROACH TO MEMBRANE PHENOMENA UNDERLYING CARDIAC ARRHYTHMIAS
• A First Course in Discrete Dynamical Systems

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