AbstractWe establish a new Conley index continuation principle, which generalizes the singular Conley index continuation principle from Carbinatto and Rybakowski (2002) [2] and is applicable to cases in which the phase space of the perturbed semiflow is not necessarily homeomorphic to a product of metric spaces having as a factor the phase space of the limiting semiflow.We apply this result to singularly perturbed second-order differential equations on smooth manifolds
Conley index theory associates isolated invariant sets with an index e.g, a topological space. This ...
The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of ...
AbstractLocal and global continuation theorems for the existence of bounded solutions to asymptotica...
AbstractWe establish a new Conley index continuation principle, which generalizes the singular Conle...
We prove a continuation result for Morse decompositions under tubular singular semiflow perturbation...
We prove the continuation property of the Conley index over a phase space for discrete semidynamical...
We define the concept of a Conley index and a homology index braid class for ordinary differential ...
We construct the Conley index over a phase space for flows. Our definition is an alternative for the...
We establish some abstract convergence and Conley index continuation principles for families of sin...
In this note we present the main ideas of the theory of the Conley index over a base space introduce...
In this paper we study stable isolated invariant sets and show that the zeroth singular homology of ...
Given $\varepsilon> 0$ and a bounded Lipschitz domain $\Omega$ in $\mathbb R^M\times \math...
Let $\Omega\subset \mathbb R^N$, $N\le 3$, be a bounded domain with smooth boundary, $\gamma\in L^2(...
Geometric Singular Perturbation Theory (GSPT) and Conley Index Theory are two powerful techniques t...
We consider reaction-diffusion equations on a family of domains depending on a parameter $\eps> 0$...
Conley index theory associates isolated invariant sets with an index e.g, a topological space. This ...
The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of ...
AbstractLocal and global continuation theorems for the existence of bounded solutions to asymptotica...
AbstractWe establish a new Conley index continuation principle, which generalizes the singular Conle...
We prove a continuation result for Morse decompositions under tubular singular semiflow perturbation...
We prove the continuation property of the Conley index over a phase space for discrete semidynamical...
We define the concept of a Conley index and a homology index braid class for ordinary differential ...
We construct the Conley index over a phase space for flows. Our definition is an alternative for the...
We establish some abstract convergence and Conley index continuation principles for families of sin...
In this note we present the main ideas of the theory of the Conley index over a base space introduce...
In this paper we study stable isolated invariant sets and show that the zeroth singular homology of ...
Given $\varepsilon> 0$ and a bounded Lipschitz domain $\Omega$ in $\mathbb R^M\times \math...
Let $\Omega\subset \mathbb R^N$, $N\le 3$, be a bounded domain with smooth boundary, $\gamma\in L^2(...
Geometric Singular Perturbation Theory (GSPT) and Conley Index Theory are two powerful techniques t...
We consider reaction-diffusion equations on a family of domains depending on a parameter $\eps> 0$...
Conley index theory associates isolated invariant sets with an index e.g, a topological space. This ...
The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of ...
AbstractLocal and global continuation theorems for the existence of bounded solutions to asymptotica...
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