Conley index orientations
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Conley index theory, Morse decompositions, reaction diffusion equationsAbstrakt
The homotopy Conley index along heteroclinic solutions of certain parabolic evolution equations is zero under appropriate assumptions. This result implies that the so-called connecting homomorphism associated with a heteroclinic solution is an isomorphism. Hence, using $\mathbb{Z}$-coefficients it can be viewed as either $1$ or $-1$ - depending on the choice of generators for the homology Conley index. We develop a method to choose such generators, and compute the connecting homomorphism relative to these generators.Pobrania
Opublikowane
2016-04-12
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1.
JÄNIG, Axel. Conley index orientations. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 43, nr 1, s. 171–214. [udostępniono 22.7.2024].
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