1. Bifurcations of invariant measures in discrete-time parameter dependent cocycles
- Creator:
- Maltseva, Anastasia and Reitmann, Volker
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- discrete-time parameter-dependent cocycles, Hausdorff dimension estimate, and invariant measure
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public