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Comptes Rendus Mécanique

Stephan Fauve 1
1 Physique Non-Linéaire
LPENS (UMR_8023) - Laboratoire de physique de l'ENS - ENS Paris
Abstract : Neutral modes related to spontaneous broken symmetries at the onset of a pattern-forming instability can strongly modify the nature of secondary instabilities of the pattern. In particular these neutral modes can change the order of the secondary transition making it first order or subcritical in the language of bifurcation theory. We first discuss this phenomenon in the context of the drift bifurcation from stationary to traveling patterns. We then consider patterns that undergo a spatial period-doubling bifurcation like the Peierls transition in solid state physics.
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Submitted on : Wednesday, December 9, 2020 - 9:29:52 AM
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Stephan Fauve. Comptes Rendus Mécanique. Comptes Rendus Mécanique, Elsevier Masson, 2020, 348 (6-7), pp.475-487. ⟨10.5802/crmeca.21>⟩. ⟨hal-03047931⟩

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