2 papers
math.DS2020
Generalized Maslov indices for non-Hamiltonian systems
Thomas John Baird, Paul Cornwell, Graham Cox +2
We extend the definition of the Maslov index to a broad class of non-Hamiltonian dynamical systems. To do this, we introduce a family of topological spaces--which we call Maslov-Ar…
math.DS2017
Instability of pulses in gradient reaction-diffusion systems: A symplectic approach
Margaret Beck, Graham Cox, Christopher Jones +3
In a scalar reaction-diffusion equation, it is known that the stability of a steady state can be determined from the Maslov index, a topological invariant that counts the state's c…