6 papers · 1 filter
Decay of Correlations for Partially Hyperbolic Skew-Products
José F. Alves, Wael Bahsoun
We develop a technique based on sectional transfer operators and the regularity of their fixed points to study rates of correlation decay for partially hyperbolic skew-products. To…
Fixed-point approximation for self-consistent transfer operators with Newton's method
Wael Bahsoun, Gary Froyland, Maxence Phalempin
Self consistent transfer operators arise naturally in the study of mean-field coupled dynamical systems and are closely related to kinetic PDEs such as the Vlasov equation. Despite…
Linear response for skew-product maps with contracting fibres
José F. Alves, Wael Bahsoun
We study linear response for families of skew-product dynamical systems with contracting fibres. Our approach is based on a sectional transfer operator acting on families of probab…
Rare events statistics for map lattices coupled by collision
Wael Bahsoun, Maxence Phalempin
Understanding the statistics of collisions among locally confined gas particles poses a major challenge. In this work we investigate -map lattices coupled by collision…
Mean field coupled dynamical systems: Bifurcations and phase transitions
Wael Bahsoun, Carlangelo Liverani
We develop a bifurcation theory for infinite dimensional systems satisfying abstract hypotheses that are tailored for applications to mean field coupled chaotic maps. Our abstract…
Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability
José F. Alves, Wael Bahsoun
We study semiflows generated via impulsive perturbations of Lorenz flows. We prove that such semiflows admit a finite number of physical measures. Moreover, if the impulsive pertur…