Abstract
The Kuramoto–Sivashinsky equation is a prototypical chaotic nonlinear partial differential equation (PDE) in which the size of the spatial domain plays the role of a bifurcation parameter. We investigate the changing dynamics of the Kuramoto–Sivashinsky PDE by calculating the Lyapunov spectra over a large range of domain sizes. Our comprehensive computation and analysis of the Lyapunov exponents and the associated Kaplan–Yorke dimension provides new insights into the chaotic dynamics of the Kuramoto–Sivashinsky PDE, and the transition to its one-dimensional turbulence.
Publisher
Cambridge University Press (CUP)
Subject
Mathematics (miscellaneous)
Reference37 articles.
1. Ensemble-LES analysis of perturbation response of turbulent partially-premixed flames
2. Unstable recurrent patterns in Kuramoto–Sivashinsky dynamics;Lan;Phys. Rev. E,2008
3. Comparison of Different Methods for Computing Lyapunov Exponents
4. Route to hyperchaos in Rayleigh–Bénard convection;Chertovskih;Europhys. Lett.,14001
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献