Bifurcations of invariant measures in discrete-time parameter dependent cocycles

Title:

Bifurcations of invariant measures in discrete-time parameter dependent cocycles

Creator:

Maltseva, Anastasia and Reitmann, Volker

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cf3178f9-70f6-4b7e-952d-7ca1d18ea074
uuid:cf3178f9-70f6-4b7e-952d-7ca1d18ea074
doi:10.21136/MB.2015.144326

Subject:

discrete-time parameter-dependent cocycles, Hausdorff dimension estimate, and invariant measure

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider parameter-dependent cocycles generated by nonautonomous difference equations. One of them is a discrete-time cardiac conduction model. For this system with a control variable a cocycle formulation is presented. We state a theorem about upper Hausdorff dimension estimates for cocycle attractors which includes some regulating function. We also consider the existence of invariant measures for cocycle systems using some elements of Perron-Frobenius theory and discuss the bifurcation of parameter-dependent measures.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

205-213

Source:

Mathematica bohemica | 2015 Volume:140 | Number:2

Harvested from:

CDK

Metadata only:

false