What is it about?

Deflation is an efficient numerical technique for identifying new branches of steady state solutions to nonlinear partial differential equations. Here, we demonstrate how to extend deflation to discover new periodic orbits in nonlinear dynamical lattices.

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Why is it important?

We employ our extension to identify discrete breathers, which are generic exponentially localized, time-periodic solutions of such lattices. We compare different approaches to using deflation for periodic orbits, including ones based on Fourier decomposition of the solution, as well as ones based on the solution’s energy density profile. We demonstrate the ability of the method to obtain a wide variety of multibreather solutions without prior knowledge about their spatial profile.

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This page is a summary of: Discrete breathers in Klein–Gordon lattices: A deflation-based approach, Chaos An Interdisciplinary Journal of Nonlinear Science, November 2023, American Institute of Physics,
DOI: 10.1063/5.0161889.
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