We introduce the notion of (h,k) manifolds and give conditions under which the property of being a manifold with asymptotic phase holds. These conditions allow the construction of a transformation of the variational equation of a nonlinear nonautonomous systems with (h,k) dichotomies, into an almost decoupled quasilinear system. The class of admissiblehandkfunctions is also briefly analyzed. © 1997 Academic Press
We look for periodic solutions for a dynamical system on a non-complete Riemannian manifold. If the...
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International audienceThe aim of this paper is to show how the concept of nonlinear modes can be use...
AbstractWe introduce the notion of (h,k) manifolds and give conditions under which the property of b...
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We develop a general compactification framework to facilitate analysis of nonautonomous ODEs where n...
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In this work we study geometric asymptotics and geometric phases for the new parametrised families o...
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There are two main approaches to the perturbative study of integrable PDEs: 1) perturbations of line...
We look for periodic solutions for a dynamical system on a non-complete Riemannian manifold. If the...
AbstractIn this paper we prove a result on lower semicontinuity of pullback attractors for dynamical...
International audienceThe aim of this paper is to show how the concept of nonlinear modes can be use...
AbstractWe introduce the notion of (h,k) manifolds and give conditions under which the property of b...
AbstractDiscrete nonautonomous nonlinear systems possessing (h, k)-trichotomies are considered. We s...
Invariant manifolds with asymptotic phase for nonautonomous difference equations / B. Aulbach, C. Pö...
AbstractFor autonomous difference equations with an invariant manifold, conditions are known which g...
We develop a general compactification framework to facilitate analysis of nonautonomous ODEs where n...
Abstract Multidegree of freedom nonlinear differential equations can often be transformed by means o...
Abstract. We give sufficient conditions of the existence of a compact invariant manifold, almost per...
In this work we study geometric asymptotics and geometric phases for the new parametrised families o...
This paper develops a new complex Hamiltonian structure forn-soliton solutions for a class of integ...
AbstractThe paper is devoted to the study of non-autonomous evolution equations: invariant manifolds...
AbstractConsider an autonomous differential system ẋ = f(x) of dimension n that admits a k-dimensio...
There are two main approaches to the perturbative study of integrable PDEs: 1) perturbations of line...
We look for periodic solutions for a dynamical system on a non-complete Riemannian manifold. If the...
AbstractIn this paper we prove a result on lower semicontinuity of pullback attractors for dynamical...
International audienceThe aim of this paper is to show how the concept of nonlinear modes can be use...
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