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arXiv:2212.07561 [math.DS]AbstractReferencesReviewsResources

Monotonicity of the period map for the equation $-\varphi''+\varphi-\varphi^{k}=0$

Fábio Natali, Giovana Alves

Published 2022-12-15Version 1

In this paper, we establish the monotonicity of the period map in terms of the energy levels for some periodic solutions of the equation $-\varphi''+\varphi-\varphi^{k}=0$, where $k>1$ is a real number. We present a different approach to show this property by using the spectral information of the corresponding linearized operator around the periodic solution and tools about the Floquet theory.

Comments: 9 pages
Categories: math.DS, math.CA
Subjects: 35B10, 35J61, 47A75
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