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Communications in Mathematical Physics

, Volume 256, Issue 3, pp 737–766 | Cite as

Onset of Chaotic Kolmogorov Flows Resulting from Interacting Oscillatory Modes

  • Zhi-Min Chen
  • W.G. Price
Article

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.

Keywords

Neural Network Statistical Physic Complex System Numerical Computation Numerical Experiment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Zhi-Min Chen
    • 1
    • 2
  • W.G. Price
    • 1
  1. 1.School of Engineering Sciences, Ship ScienceUniversity of SouthamptonSouthamptonUK
  2. 2.School of MathematicsNankai UniversityTianjinP.R. China

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