AbstractWe present an argument for proving the existence of local stable and unstable manifolds in a general abstract setting and under very weak hyperbolicity conditions
We state and prove a Local Stable Manifold Theorem (Theorem 4.1) for non- linear stochastic differen...
AbstractA generalization of the well-known unstable manifold theorem near hyperbolic equilibrium poi...
This paper is devoted to clarify the algorithmic definition of the weak stability boundary in the f...
We describe a method for finding periodic orbits contained in a hyperbolic invariant set and of cons...
We investigate the standard stable manifold theorem in the context of a partially hyperbolic singu-l...
AbstractLet the equation x¨=f(t,x) be periodic in time, and let the equilibrium x∗≡0 be a periodic m...
ABSTRACT. We introduce a new technique for proving the classical Stable Manifold theorem for hyperbo...
AbstractWe introduce the concept of a weakly, normally hyperbolic set for a system of ordinary diffe...
AbstractIn this paper we show that a little hyperbolicity goes a long way toward guaranteeing stable...
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and ...
AbstractWe show how to effectively link covering relations with cone conditions. We give a new, ‘geo...
this paper we consider an infinite dimensional non-compact manifold which is invariant under a hyper...
AbstractConjugate unstable manifolds of saturated hyperbolic sets of Smale diffeomorphisms are chara...
We consider Cr (r ≥ 1 +γ) diffeomorphisms of compact Riemannian manifolds. Our aim is to develop the...
AbstractA classical result, studied, among others, by Carathéodory [C. Carathéodory, Calculus of Var...
We state and prove a Local Stable Manifold Theorem (Theorem 4.1) for non- linear stochastic differen...
AbstractA generalization of the well-known unstable manifold theorem near hyperbolic equilibrium poi...
This paper is devoted to clarify the algorithmic definition of the weak stability boundary in the f...
We describe a method for finding periodic orbits contained in a hyperbolic invariant set and of cons...
We investigate the standard stable manifold theorem in the context of a partially hyperbolic singu-l...
AbstractLet the equation x¨=f(t,x) be periodic in time, and let the equilibrium x∗≡0 be a periodic m...
ABSTRACT. We introduce a new technique for proving the classical Stable Manifold theorem for hyperbo...
AbstractWe introduce the concept of a weakly, normally hyperbolic set for a system of ordinary diffe...
AbstractIn this paper we show that a little hyperbolicity goes a long way toward guaranteeing stable...
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and ...
AbstractWe show how to effectively link covering relations with cone conditions. We give a new, ‘geo...
this paper we consider an infinite dimensional non-compact manifold which is invariant under a hyper...
AbstractConjugate unstable manifolds of saturated hyperbolic sets of Smale diffeomorphisms are chara...
We consider Cr (r ≥ 1 +γ) diffeomorphisms of compact Riemannian manifolds. Our aim is to develop the...
AbstractA classical result, studied, among others, by Carathéodory [C. Carathéodory, Calculus of Var...
We state and prove a Local Stable Manifold Theorem (Theorem 4.1) for non- linear stochastic differen...
AbstractA generalization of the well-known unstable manifold theorem near hyperbolic equilibrium poi...
This paper is devoted to clarify the algorithmic definition of the weak stability boundary in the f...
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