Spatiotemporal Chaos in Interfacial Waves
Spatiotemporal chaos occurs in many hydrodynamic systems. This state is distinguished from temporal chaos by at least partial loss of coherence between different spatial regions, and from fully developed turbulence by the absence of a cascade. Several experimental and theoretical examples of spatiotemporal chaos are briefly reviewed. Parametrically forced surface waves provide a favorable context for the study of spatiotemporal chaos since the number of active modes can be controlled by varying the driving frequency. In this chapter, we describe the onset and statistical properties of spatiotemporal chaos in surface waves. Of particular note is the presence of phenomena on scales much greater than the wavelength, so that the de-correlation that is one hallmark of spatiotemporal chaos is incomplete.
KeywordsSurface Wave Correlation Length Chaotic Dynamic Excitation Frequency Excitation Amplitude
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