Add to ORKGInternational audienceUsing recent results on measure theory and algebraic geometry, we show how semidefinite programming can be used to construct invariant measures of one-dimensional discrete dynamical systems (iterated maps on a real interval). In particular we show that both discrete measures (corresponding to finite cycles) and continuous measures (corresponding to chaotic behavior) can be recovered using standard software, paving the way for a numerical study of probabilistic properties of dynamical systems
This paper describes the application of the homotopy perturbations method (HPM) in the computation o...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
In this paper, we present a study of different iterated maps in which we are looking for invariants ...
International audienceUsing recent results on measure theory and algebraic geometry, we show how sem...
When f(x)=2 x (mod 1) is simulated in a finite discretized space, with random round-off error, the d...
We study the computability of the set of invariant measures of a computable dynamical system. It is ...
AbstractWe introduce domain theory in dynamical systems, iterated function systems (fractals), and m...
Many examples exist of one-dimensional systems that are topologically conjugate to the shift operato...
Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems who...
We discuss some recent results related to the deduction of a suitable probabilistic model for the de...
We consider the question of computing invariant measures from an abstract point of view. Here, compu...
Certain dynamical systems on the interval with neutrally stable repelling points admit invariant pro...
We propose a convex-optimization-based framework for computation of invariant measures of polynomial...
The behaviour and properties of one-dimensional discrete mappings are explored by writing Matlab cod...
In this paper, we introduce a new concept called 'a pair of coincident invariant measures' and estab...
This paper describes the application of the homotopy perturbations method (HPM) in the computation o...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
In this paper, we present a study of different iterated maps in which we are looking for invariants ...
International audienceUsing recent results on measure theory and algebraic geometry, we show how sem...
When f(x)=2 x (mod 1) is simulated in a finite discretized space, with random round-off error, the d...
We study the computability of the set of invariant measures of a computable dynamical system. It is ...
AbstractWe introduce domain theory in dynamical systems, iterated function systems (fractals), and m...
Many examples exist of one-dimensional systems that are topologically conjugate to the shift operato...
Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems who...
We discuss some recent results related to the deduction of a suitable probabilistic model for the de...
We consider the question of computing invariant measures from an abstract point of view. Here, compu...
Certain dynamical systems on the interval with neutrally stable repelling points admit invariant pro...
We propose a convex-optimization-based framework for computation of invariant measures of polynomial...
The behaviour and properties of one-dimensional discrete mappings are explored by writing Matlab cod...
In this paper, we introduce a new concept called 'a pair of coincident invariant measures' and estab...
This paper describes the application of the homotopy perturbations method (HPM) in the computation o...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
In this paper, we present a study of different iterated maps in which we are looking for invariants ...