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math.DS2017★ 18 cited
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…
math.DS2016★ 5 cited
The Maslov and Morse indices for Schrödinger operators on
Peter Howard, Yuri Latushkin, Alim Sukhtayev
Assuming a symmetric potential that approaches constant endstates with a sufficient asymptotic rate, we relate the Maslov and Morse indices for Schrödinger operators on $\mathbb{R}…
math.DS2016★ 1 cited
The Maslov index for Lagrangian pairs on
Peter Howard, Yuri Latushkin, Alim Sukhtayev
We discuss a definition of the Maslov index for Lagrangian pairs on based on spectral flow, and develop many of its salient properties. We provide two application…