AbstractDeng's lemma gives estimates on the behavior of solutions of ordinary differential equations in the neighborhood of a partially hyperbolic equilibrium. We prove a generalization in which “partially hyperbolic equilibrium” is replaced by “normally hyperbolic invariant manifold.
We study the boundary of unstable manifolds in parabolic partial differential equations of Sturm typ...
The inclination or λ-lemma is a fundamental tool in finite dimensional hyperbolic dynamics. In contr...
We analyze when partially hyperbolic endomorphisms can be perturbed in order to be close to one with...
AbstractDeng's lemma gives estimates on the behavior of solutions of ordinary differential equations...
AbstractThere are two objectives in this paper. First we develop a theory which is valid in the infi...
AbstractIn this work, singular perturbation problems with a certain type of turning point are studie...
A -lemma for normally hyperbolic manifolds asserts that, given a smooth manifold M and a diffeomorph...
AbstractDiscretization methods in the vicinity of normally hyperbolic compact invariant manifolds of...
AbstractWe introduce the concept of a weakly, normally hyperbolic set for a system of ordinary diffe...
21 pagesLet $N$ be a smooth manifold and $f:N\rightarrow N$ be a $C^l$, $l\geq 2$ diffeomorphism. Le...
AbstractWe study the singular ordinary differential equation(0.1)dUdt=1ζ(U)ϕs(U)+ϕns(U), where U∈RN,...
In this paper we study the Arnold diffusion along a normally hyperbolic invariant manifold in a mode...
We study the singular ordinary differential equation $$ \frac{d U}{d t} = f (U) / z (U) + g (U), $$ ...
AbstractLet the equation x¨=f(t,x) be periodic in time, and let the equilibrium x∗≡0 be a periodic m...
We begin with presentation of classification results in the theory of Hamiltonian PDEs with one spat...
We study the boundary of unstable manifolds in parabolic partial differential equations of Sturm typ...
The inclination or λ-lemma is a fundamental tool in finite dimensional hyperbolic dynamics. In contr...
We analyze when partially hyperbolic endomorphisms can be perturbed in order to be close to one with...
AbstractDeng's lemma gives estimates on the behavior of solutions of ordinary differential equations...
AbstractThere are two objectives in this paper. First we develop a theory which is valid in the infi...
AbstractIn this work, singular perturbation problems with a certain type of turning point are studie...
A -lemma for normally hyperbolic manifolds asserts that, given a smooth manifold M and a diffeomorph...
AbstractDiscretization methods in the vicinity of normally hyperbolic compact invariant manifolds of...
AbstractWe introduce the concept of a weakly, normally hyperbolic set for a system of ordinary diffe...
21 pagesLet $N$ be a smooth manifold and $f:N\rightarrow N$ be a $C^l$, $l\geq 2$ diffeomorphism. Le...
AbstractWe study the singular ordinary differential equation(0.1)dUdt=1ζ(U)ϕs(U)+ϕns(U), where U∈RN,...
In this paper we study the Arnold diffusion along a normally hyperbolic invariant manifold in a mode...
We study the singular ordinary differential equation $$ \frac{d U}{d t} = f (U) / z (U) + g (U), $$ ...
AbstractLet the equation x¨=f(t,x) be periodic in time, and let the equilibrium x∗≡0 be a periodic m...
We begin with presentation of classification results in the theory of Hamiltonian PDEs with one spat...
We study the boundary of unstable manifolds in parabolic partial differential equations of Sturm typ...
The inclination or λ-lemma is a fundamental tool in finite dimensional hyperbolic dynamics. In contr...
We analyze when partially hyperbolic endomorphisms can be perturbed in order to be close to one with...
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