Coherent structures and entropy in constrained, modulationally unstable, nonintegrable systems

B. Rumpf, Alan C Newell

Research output: Contribution to journalArticle

58 Scopus citations

Abstract

Most dynamical systems exhibit a type of universal behavior in which high peaks of some field emerge from a low amplitude noisy background. In nonintegrable systems, stationary states characterized by robust coherent structures immersed in a sea of radiated wavelike fluctuations occur. This work demonstrates that such states are the most likely solutions for systems with additional integrals corresponding to surviving symmetries.

Original languageEnglish (US)
Article number054102
JournalPhysical Review Letters
Volume87
Issue number5
Publication statusPublished - Jul 30 2001
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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