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arXiv · 1306.6569

Monotone gradient dynamics and location of stationary (p,q)-configurations

Emilia Petrisor
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Abstract

Exploiting the monotone property of the gradient dynamics of the Frenkel-Kontorova model, we locate in the space of (p,q)-configurations the ordered and unordered stationary states, as well as forbidden regions for such states. Moreover we show that some generalized Frenkel--Kontorova models (associated to multiharmonic standard maps) can have ordered (p,q)--configurations that are neither action minimizing nor minimaximizing, and give their location with respect to the set of (p,q)--minimizers and minimaximizers.

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Emilia Petrisor. 2013-06-27. Monotone gradient dynamics and location of stationary (p,q)-configurations. https://doi.org/10.1088/1751-8113/47/4/045102

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