Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes

Chen, Zhi-Min and Price, W.G. (2005) Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Communications in Mathematical Physics, 256 (3), 737-766. (doi:10.1007/s00220-005-1290-0).

Abstract

On the basis of rigorous analysis supported by numerical computation, a systematic study is presented to locate and examine chaotic Kolmogorov flows resulting from the interaction of a basic steady-state flow and oscillatory modes. Referenced to suitably chosen initial conditions of the Kolmogorov flow model, these oscillatory modes are derived from the equation linearized around the basic steady-state flow. The numerical experiments provide insight into the transition process from secondary self-oscillation flows or secondary steady-state flows to chaotic Kolmogorov flows.

This record has no associated files available for download.

Contributors

Download statistics