English

Turbulent fields and their recurrences

Chaotic Dynamics 2017-08-23 v1 High Energy Physics - Theory Dynamical Systems Fluid Dynamics

Abstract

We introduce a new variational method for finding periodic orbits of flows and spatio-temporally periodic solutions of classical field theories, a generalization of the Newton method to a flow in the space of loops. The feasibility of the method is demonstrated by its application to several dynamical systems, including the Kuramoto-Sivashinsky system.

Keywords

Cite

@article{arxiv.nlin/0308006,
  title  = {Turbulent fields and their recurrences},
  author = {Predrag Cvitanovic and Yueheng Lan},
  journal= {arXiv preprint arXiv:nlin/0308006},
  year   = {2017}
}

Comments

14 pages, 13 figures; in N. Antoniou, ed., Proceed. of 10. Intern. Workshop on Multiparticle Production: Correlations and Fluctuations in QCD (World Scientific, Singapore 2003)