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math.DS2019★ 3 cited
Stable Periodic Solutions to Lambda-Omega Lattice Dynamical Systems
Jason J. Bramburger
In this manuscript we consider the stability of periodic solutions to Lambda-Omega lattice dynamical systems. In particular, we show that an appropriate ansatz casts the lattice dy…
math.DS2019
Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators
Jason J. Bramburger
It is now well known that ultracontractive properties of semigroups with infinitesimal generator given by an undirected graph Laplacian operator can be obtained through an understa…