About the mechanism of switching between standing and traveling waves is accompanied by a halving of the wavelength

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We suggest a possible mechanism for the transition from standing waves with a wavelength λSW to traveling waves with a half wavelength: λTW ≅λSW / 2. This phenomenon was observed in the Belousov–Zhabotinsky reaction dispersed in a water-in-oil aerosol OT/Span-20 microemulsion. The problem is solved in a spatially one-dimensional case using amplitude equations approach. We demonstrate that a transition is possible under certain conditions. We obtain conditions for the mode coupling strength parameters, under which the scenario of transition from a standing wave to a half-period traveling wave, observed experimentally, is realized. The result of theoretical analysis is confirmed by numerical simulations.

Keywords: bifurcation, standing waves, traveling waves, amplitude equations
Citation in English: Borina M.Y., Polezhaev A.A. About the mechanism of switching between standing and traveling waves is accompanied by a halving of the wavelength // Computer Research and Modeling, 2012, vol. 4, no. 4, pp. 673-679
Citation in English: Borina M.Y., Polezhaev A.A. About the mechanism of switching between standing and traveling waves is accompanied by a halving of the wavelength // Computer Research and Modeling, 2012, vol. 4, no. 4, pp. 673-679
DOI: 10.20537/2076-7633-2012-4-4-673-679

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