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Bifurcations of invariant measures in discrete-time parameter dependent cocycles. / Maltseva, Anastasia; Reitmann, Volker.

In: Mathematica Bohemica, Vol. 140, No. 2, A205, 2015, p. 205-213.

Research output: Contribution to journal › Article › peer-review

Harvard

Maltseva, A & Reitmann, V 2015, 'Bifurcations of invariant measures in discrete-time parameter dependent cocycles', Mathematica Bohemica, vol. 140, no. 2, A205, pp. 205-213.

APA

Maltseva, A., & Reitmann, V. (2015). Bifurcations of invariant measures in discrete-time parameter dependent cocycles. Mathematica Bohemica, 140(2), 205-213. [A205].

Vancouver

Maltseva A, Reitmann V. Bifurcations of invariant measures in discrete-time parameter dependent cocycles. Mathematica Bohemica. 2015;140(2):205-213. A205.

Author

Maltseva, Anastasia ; Reitmann, Volker. / Bifurcations of invariant measures in discrete-time parameter dependent cocycles. In: Mathematica Bohemica. 2015 ; Vol. 140, No. 2. pp. 205-213.

BibTeX

@article{775762db0f0f443e8f664523da8663a7,
title = "Bifurcations of invariant measures in discrete-time parameter dependent cocycles",
abstract = "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.",
keywords = "Discrete-time parameter-dependent cocycles, Hausdorff dimension estimate, Invariant measure",
author = "Anastasia Maltseva and Volker Reitmann",
note = "Publisher Copyright: {\textcopyright} 2015, Akademie ved Ceske Republiky. All rights reserved. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.",
year = "2015",
language = "English",
volume = "140",
pages = "205--213",
journal = "Mathematica Bohemica",
issn = "0862-7959",
publisher = "Czech Academy of Sciences",
number = "2",

}

RIS

TY - JOUR

T1 - Bifurcations of invariant measures in discrete-time parameter dependent cocycles

AU - Maltseva, Anastasia

AU - Reitmann, Volker

N1 - Publisher Copyright: © 2015, Akademie ved Ceske Republiky. All rights reserved. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Discrete-time parameter-dependent cocycles

KW - Hausdorff dimension estimate

KW - Invariant measure

UR - http://www.scopus.com/inward/record.url?scp=84942322341&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84942322341

VL - 140

SP - 205

EP - 213

JO - Mathematica Bohemica

JF - Mathematica Bohemica

SN - 0862-7959

IS - 2

M1 - A205

ER -

ID: 73406410