Geodesic
Bifurcations of invariant measures in discrete-time parameter dependent cocycles
Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 205-213.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/MB.2015.144326
Classification : 35B15, 35B32, 35B41, 35K20, 37H05
Mots-clés : discrete-time parameter-dependent cocycles; Hausdorff dimension estimate; invariant measure 
@article{10_21136_MB_2015_144326,
     author = {Maltseva, Anastasia and Reitmann, Volker},
     title = {Bifurcations of invariant measures in discrete-time parameter dependent cocycles},
     journal = {Mathematica Bohemica},
     pages = {205--213},
     publisher = {mathdoc},
     volume = {140},
     number = {2},
     year = {2015},
     doi = {10.21136/MB.2015.144326},
     mrnumber = {3368494},
     zbl = {06486934},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144326/}
}
TY  - JOUR
AU  - Maltseva, Anastasia
AU  - Reitmann, Volker
TI  - Bifurcations of invariant measures in discrete-time parameter dependent cocycles
JO  - Mathematica Bohemica
PY  - 2015
SP  - 205
EP  - 213
VL  - 140
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144326/
DO  - 10.21136/MB.2015.144326
LA  - en
ID  - 10_21136_MB_2015_144326
ER  - 
%0 Journal Article
%A Maltseva, Anastasia
%A Reitmann, Volker
%T Bifurcations of invariant measures in discrete-time parameter dependent cocycles
%J Mathematica Bohemica
%D 2015
%P 205-213
%V 140
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144326/
%R 10.21136/MB.2015.144326
%G en
%F 10_21136_MB_2015_144326
Maltseva, Anastasia; Reitmann, Volker. Bifurcations of invariant measures in discrete-time parameter dependent cocycles. Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 205-213. doi : 10.21136/MB.2015.144326. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144326/

Cité par Sources :