Abstract
Motivated by [12] and [11], 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.
Citation
Qin Xing. "Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space." Topol. Methods Nonlinear Anal. 59 (1) 113 - 130, 2022. https://doi.org/10.12775/TMNA.2021.005
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