| Abstract: |
| The Maslov index is a topological invariant naturally associated to a Hamiltonian system. This is a useful tool for linear stability analysis, provided the eigenvalue equation can be rewritten in a Hamiltonian form. In this talk I will describe a recent generalization of the Maslov index to non-Hamiltonian systems. This generalization allows one to study reaction-diffusion system of activator-inhibitor type. As an application, I will show how this new index can be used to characterize the Turing instability. |
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