Pattern competition leads to chaos

Physics

Scientific paper

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94

Chaos, Coupled Modes, Flow Distribution, Flow Stability, Fluid Filled Shells, Oscillating Flow, Coupling Coefficients, Fourier Analysis, Navier-Stokes Equation, Surface Waves

Scientific paper

Pattern competition has been studied experimentally in the free surface modes of a circular fluid layer that is forced vertically. Interaction between nearly degenerate modes of different symmetry gives rise to periodic and chaotic fluctuations. The time-dependent mode amplitudes have been measured with digital imaging methods. Many of the observed phenomena can be explained by a low-dimensional coupled oscillator model that is related to the Navier-Stokes equations.

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