Conley index orientations
Keywords
Conley index theory, Morse decompositions, reaction diffusion equationsAbstract
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.Downloads
Published
2016-04-12
How to Cite
1.
JÄNIG, Axel. Conley index orientations. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 1, pp. 171 - 214. [Accessed 25 April 2024].
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