Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space
DOI:
https://doi.org/10.12775/TMNA.2021.005Keywords
Heteroclinic orbits, non-Hamiltonian systems on a two-dimensional phase space, Maslov index, spectral flow, Nagumo equationsAbstract
Motivated by \cite{hu2019bifurcation} and \cite{hu2017index}, we use a geometric approach to define the Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space, and we proceed by explaining the Maslov index is equal to the sum of the nullity of a family of Fredholm operators. As an application, we illustrate the role of our results in the Nagumo equation.References
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