Stability of closed characteristics on compact convex hypersurfaces in
Stability of compact actions of Rn of codimensional one.
Stability of fixed points for order-preserving discrete-time dynamical systems.
Stability of higher order singular points of Poisson manifolds and Lie algebroids
We study the stability of singular points for smooth Poisson structures as well as general Lie algebroids. We give sufficient conditions for stability lying on the first-order approximation (not necessarily linear) of a given Poisson structure or Lie algebroid at a singular point. The main tools used here are the classical Lichnerowicz-Poisson cohomology and the deformation cohomology for Lie algebroids recently introduced by Crainic and Moerdijk. We also provide several examples of stable singular...
Stability of Markov processes nonhomogeneous in time
We study the asymptotic behaviour of discrete time processes which are products of time dependent transformations defined on a complete metric space. Our sufficient condition is applied to products of Markov operators corresponding to stochastically perturbed dynamical systems and fractals.
Stability of Orbit spaces of Endomorphisms.
Stability of the Monge-Ampère Foliation.
Stability of the spectrum for transfer operators
Stabilizability of a class of nonlinear systems using hybrid controllers.
Stable and non-stable non-chaotic maps of the interval
Stable closed orbits in plane autonomous dynamical systems.
Stable global attractors in
Stable planar polynomial vector fields.
Statistical properties of topological Collet–Eckmann maps
Statistical stability of geometric Lorenz attractors
We consider the robust family of geometric Lorenz attractors. These attractors are chaotic, in the sense that they are transitive and have sensitive dependence on initial conditions. Moreover, they support SRB measures whose ergodic basins cover a full Lebesgue measure subset of points in the topological basin of attraction. Here we prove that the SRB measures depend continuously on the dynamics in the weak* topology.
Strong almost reducibility for analytic and Gevrey quasi-periodic cocycles
This article is about almost reducibility of quasi-periodic cocycles with a diophantine frequency which are sufficiently close to a constant. Generalizing previous works by L.H. Eliasson, we show a strong version of almost reducibility for analytic and Gevrey cocycles, that is to say, almost reducibility where the change of variables is in an analytic or Gevrey class which is independent of how close to a constant the initial cocycle is conjugated. This implies a result of density, or quasi-density,...
Strong cellularity and global asymptotic stability
Structural stability and generic properties of planar polynomial vector fields.
Structural stability of classical lattices in one dimension
Structural Stability of Diffeomorphisms on Two-Manifolds.