Global stability and bifurcations of invariant measures for the discrete cocycles of the cardiac conduction system’s equations

Autor:	A. A. Maltseva, V. Reitmann
Rok vydání:	2014
Předmět:	Mathematics::Dynamical Systems Partial differential equation Mathematics::Operator Algebras General Mathematics Ordinary differential equation Mathematical analysis Control variable Invariant measure Invariant (mathematics) Analysis Mathematics
Zdroj:	Differential Equations. 50:1718-1732
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266114130035
Popis:	In the present paper, we study parameter-depending cocycles generated by nonautonomous difference equations. The time-discrete model of the cardiac conduction system is an example of such equations. We construct a cocycle for such a system with a control variable. We present a theorem on the global stability for time-discrete cocycles. We also study the existence of an invariant measure for such a cocycle by using some elements of the Perron-Frobenius operators’ theory and discuss bifurcations of parameter-dependent measures.
Databáze:	OpenAIRE
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