## Variational method for finding periodic orbits in a general flow.

- Yueheng Lan, Predrag Cvitanović
- Physical review. E, Statistical, nonlinear, and…
- 2004

2 Excerpts

- Published 2003

The intriguing “Hopf’s last hope”— proposal for a theory of turbulence has significant physical meaning. The problem is how to describe chaotic/turbulent spatiotemporal patterns. Typical system exhibiting spatiotemporal chaos is the Kuramoto-Sivashinsky(KS for short) system. It is a prototype to model the development of turbulence in physical systems. The basic equation is ut = (u)x − uxx − vuxxxx. The project mainly studies the chaotic properties of the KuramotoSivashinsky system. The periodic solutions of the system are found by the Newton-Raphson method some other novel variational methods. They are discussed in [2] and [1].

@inproceedings{Liang2003SpatiotemporallyPS,
title={Spatiotemporally periodic solutions by variational methods},
author={Mingtian Liang and Yueheng Lan},
year={2003}
}