Shift of bifurcation point due to noise induced parameter.
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Smooth Extensions of Bernoulli Shifts
Zbigniew S. Kowalski (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
For homographic extensions of the one-sided Bernoulli shift we construct σ-finite invariant and ergodic product measures. We apply the above to the description of invariant product probability measures for smooth extensions of one-sided Bernoulli shifts.
Stability of equilibrium points of fractional difference equations with stochastic perturbations.
Paternoster, Beatrice, Shaikhet, Leonid (2008)
Advances in Difference Equations [electronic only]
Stability of the spectrum for transfer operators
Gerhard Keller, Carlangelo Liverani (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Stochastic dynamical systems with weak contractivity properties II. Iteration of Lipschitz mappings
Marc Peigné, Wolfgang Woess (2011)
Colloquium Mathematicae
In this continuation of the preceding paper (Part I), we consider a sequence of i.i.d. random Lipschitz mappings → , where is a proper metric space. We investigate existence and uniqueness of invariant measures, as well as recurrence and ergodicity of the induced stochastic dynamical system (SDS) starting at x ∈ . The main results concern the case when the associated Lipschitz constants are log-centered. Principal tools are local contractivity, as considered in detail in Part I, the Chacon-Ornstein...
Stochastic dynamical systems with weak contractivity properties I. Strong and local contractivity
Marc Peigné, Wolfgang Woess (2011)
Colloquium Mathematicae
Consider a proper metric space and a sequence of i.i.d. random continuous mappings → . It induces the stochastic dynamical system (SDS) starting at x ∈ . In this and the subsequent paper, we study existence and uniqueness of invariant measures, as well as recurrence and ergodicity of this process. In the present first part, we elaborate, improve and complete the unpublished work of Martin Benda on local contractivity, which merits publicity and provides an important tool for studying stochastic...
Strong convergence of additive Multidimensional Continued Fraction algorithms
Kentaro Nakaishi (2006)
Acta Arithmetica
Strong stochastic stability and rate of mixing for unimodal maps
Viviane Baladi, Marcelo Viana (1996)
Annales scientifiques de l'École Normale Supérieure
Sur les retardateurs
Thierry Bousch (2007)
Annales de l'I.H.P. Probabilités et statistiques
Symplectic integrators to stochastic Hamiltonian dynamical systems derived from composition methods.
Misawa, Tetsuya (2010)
Mathematical Problems in Engineering
Synchronization of dissipative dynamical systems driven by non-Gaussian Lev́y noises.
Liu, Xianming, Duan, Jinqiao, Liu, Jicheng, Kloeden, Peter E. (2010)
International Journal of Stochastic Analysis
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