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• W2975272938 startingPage "3201" @default.
• W2975272938 abstract "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 dynamical system as an infinite-dimensional fast-slow differential equation. In a neighborhood of the periodic solution an invariant slow manifold is proven to exist, and that this slow manifold is uniformly exponentially attracting. The dynamics of solutions on the slow manifold become significantly more complicated and require a more delicate treatment. We present sufficient conditions to guarantee convergence on the slow manifold which is algebraic, as opposed to exponential, in the slow-time variable. Of particular interest to our work in this manuscript is the stability of a rotating wave solution, recently found to exist in the Lambda-Omega systems studied herein." @default.
• W2975272938 created "2019-10-03" @default.
• W2975272938 creator A5017009058 @default.
• W2975272938 date "2020-03-01" @default.
• W2975272938 modified "2023-09-26" @default.
• W2975272938 title "Stable periodic solutions to Lambda-Omega lattice dynamical systems" @default.
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• W2975272938 doi "https://doi.org/10.1016/j.jde.2019.09.053" @default.
• W2975272938 hasPublicationYear "2020" @default.
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