64 citations · 219 across the 45 of their papers we have counts for
8 papers · 1 filter
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…
The Selgrade decomposition for linear semiflows on Banach spaces
Alex Blumenthal, Yuri Latushkin
We extend Selgrade's Theorem, Morse spectrum, and related concepts to the setting of linear skew product semiflows on a separable Banach bundle. We recover a characterization, well…
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}…
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…
Stable foliations near a traveling front for reaction diffusion systems
Yuri Latushkin, Roland Schnaubelt, Xinyao Yang
We establish the existence of a stable foliation in the vicinity of a traveling front solution for systems of reaction diffusion equations in one space dimension that arise in the…
Some results on the entropy of nonautonomous dynamical systems
Christoph Kawan, Yuri Latushkin
In this paper we advance the entropy theory of discrete nonautonomous dynamical systems that was initiated by Kolyada and Snoha in 1996. The first part of the paper is devoted to t…