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.
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Communicated by J.L. Lebowitz
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Chen, ZM., Price, W. Onset of Chaotic Kolmogorov Flows Resulting from Interacting Oscillatory Modes. Commun. Math. Phys. 256, 737–766 (2005). https://doi.org/10.1007/s00220-005-1290-0
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DOI: https://doi.org/10.1007/s00220-005-1290-0