The proof of the invariant gibbs measure existence for hyperbolic mappings with singularities is the aim of the paper as well as the proof of the continuous dependence of this measure on the mapping. As a result conditions, under which the natural invariant measure exists and the number of ergodic components is finite, have been indicated. The continuous dependence of the invariant measure on dynamic system parameters has been proved. The satisfaction to the introduced conditions for mappings with one-dimensional attractors has been provedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
We construct an open class of 2-parameter families of 1-dimensional maps for which, in some measure ...
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We consider a class of non-invertible piecewise affine hyperbolic endomorphisms with singularities a...
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This is a slightly expanded version of the text of a lecture I gave in a conference at Rutgers Unive...
We study two classes of dynamical systems with holes: expanding maps of the interval and Collet-Eckm...
Invariant sets of dissipative dynamic systems and algorithms for their investigation are considered ...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
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In this paper we will show that piecewise C2 mappings / on [0,1] or S1 satisfying the so-called Misi...
Under certain conditions a many-to-one transformation of the unit interval into itself possesses a f...
International audienceWe continue our study of the dynamics of mappings with small topological degre...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
We construct an open class of 2-parameter families of 1-dimensional maps for which, in some measure ...
Dynamical systems "trvith complicated orbit structures are best described by suitable invariant mea...
Abstract. In this paper we introduce the notion of generalized phys-ical and SRB measures. These mea...
We consider a class of non-invertible piecewise affine hyperbolic endomorphisms with singularities a...
In this paper, we study the existence of SRB measures and their properties for infinite dimensional ...
This is a slightly expanded version of the text of a lecture I gave in a conference at Rutgers Unive...
We study two classes of dynamical systems with holes: expanding maps of the interval and Collet-Eckm...
Invariant sets of dissipative dynamic systems and algorithms for their investigation are considered ...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
Abstract We study ergodic properties of invariant measures for the partially hyperbolic horseshoes, ...
In this paper we will show that piecewise C2 mappings / on [0,1] or S1 satisfying the so-called Misi...
Under certain conditions a many-to-one transformation of the unit interval into itself possesses a f...
International audienceWe continue our study of the dynamics of mappings with small topological degre...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
We construct an open class of 2-parameter families of 1-dimensional maps for which, in some measure ...
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