22 citations · 48 across the 20 of their papers we have counts for
13 papers · 1 filter
Minimal jointly uniform attractor for nonautonomous random dynamical systems
Pedro Catuogno, Alexandre do Nascimento Oliveira-Sousa, Paulo Ruffino
We introduce a notion of minimal uniform attractor for nonautonomous random dynamical systems, which depends jointly on time and on a random parameter. Several examples are provide…
Decomposition of discontinuous flows of diffeomorphisms: jumpings, geometrical and topological aspects
Lourival Lima, Paulo Ruffino
Let be a compact manifold equipped with a pair of complementary foliations, say horizontal and vertical . In Melo, Morgado and Ruffino (Disc Cont Dyn…
Geometric aspects of Young Integral: decomposition of flows
Lourival Lima, Paulo Ruffino, Pedro Catuogno
In this paper we study geometric aspects of dynamics generated by Young differential equations (YDE) driven by -Hölder trajectories with . We present a number of…
A strong averaging principle for Lévy diffusions in foliated spaces with unbounded leaves
Paulo-Henrique da Costa, Michael A. Högele, Paulo R. Ruffino
This article extends a strong averaging principle for Lévy diffusions which live on the leaves of a foliated manifold subject to small transversal Lévy type perturbation to the cas…
Topology of foliations and decomposition of stochastic flows of diffeomorphisms
Alison M. Melo, Leandro Morgado, Paulo R. Ruffino
Let be a compact manifold equipped with a pair of complementary foliations, say horizontal and vertical. In Catuogno, Silva and Ruffino (. ., 2013) it is shown that…
Decomposition of stochastic flows generated by Stratonovich SDEs with jumps
Alison M. Melo, Leandro Morgado, Paulo R. Ruffino
Consider a manifold endowed locally with a pair of complementary distributions and let and be the corresponding…
Stochastic delay differential equations with jumps in differentiable manifolds
Leandro Morgado, Paulo R. Ruffino
In this article we propose a model for stochastic delay differential equation with jumps (SDDEJ) in a differentiable manifold endowed with a connection . In our model,…
Extension of time for decomposition of stochastic flows in spaces with complementary foliations
Leandro Morgado, Paulo R. Ruffino
Let be a manifold equipped (locally) with a pair of complementary foliations. In Catuogno, da Silva and Ruffino (Stoch. Dyn. 2013), it is shown that, up to a stopping time ,…
A Sampling Theorem for Rotation Numbers of Linear Processes in
Paulo R. C. Ruffino
We prove an ergodic theorem for the rotation number of the composition of a sequence os stationary random homeomorphisms in . In particular, the concept of rotation number o…
A family of rotation numbers for discrete random dynamics on the circle
Christian S. Rodrigues, Paulo R. C. Ruffino
We revisit the problem of well-defining rotation numbers for discrete random dynamical systems on the circle. We show that, contrasting with deterministic systems, the topological…
An averaging principle for diffusions in foliated spaces
Ivan I. Gonzales-Gargate, Paulo R. Ruffino
Consider an SDE on a foliated manifold whose trajectories lay on compact leaves. We investigate the effective behavior of a small transversal perturbation of order . A…
Decomposition of stochastic flows in manifolds with complementary distributions
Pedro J. Catuogno, Fabiano B. da Silva, Paulo R. Ruffino
Let be a differentiable manifold endowed locally with two complementary distributions, say horizontal and vertical. We consider the two subgroups of (local) diffeomorphisms of…
Decomposition of stochastic flows with automorphism of subbundles component
Pedro J. Catuogno, Fabiano B. da Silva, Paulo Ruffino
We show that given a -structure on a differentiable manifold , if the group of automorphisms of is big enough, then there exists the quotient of an stochastic…