Articles | Volume 24, issue 1
Nonlin. Processes Geophys., 24, 1–8, 2017

Special issue: Current perspectives in modelling, monitoring, and predicting...

Nonlin. Processes Geophys., 24, 1–8, 2017

Research article 12 Jan 2017

Research article | 12 Jan 2017

Parametric resonance in the dynamics of an elliptic vortex in a periodically strained environment

Konstantin V. Koshel and Eugene A. Ryzhov

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Cited articles

Balasuriya, S. and Jones, C. K. R. T.: Diffusive draining and growth of eddies, Nonlin. Processes Geophys., 8, 241–251,, 2001.
Bayly, B. J., Holm, D. D., and Lifschitz, A.: Three-dimensional stability of elliptical vortex columns in external strain flows, Philos. T. Roy. Soc. A, 354, 895–926,, 1996.
Bertozzi, A. L.: Heteroclinic orbits and chaotic dynamics in planar fluid flows, SIAM J. Math. Anal., 19, 1271–1294,, 1988.
Carton, X. and Legras, B.: The life-cycle of tripoles in 2-dimensional incompressible flows, J. Fluid Mech., 267, 53–82,, 1994.
Carton, X., Meunier, T., Flierl, G. R., Perrot, X., and Sokolovskiy, M.: Explosive instability of geostrophic vortices, Part 2: parametric instability, Theor. Comput. Fluid Dyn., 24, 131–135,, 2010.
Short summary
The paper deals with the dynamics of an isolated vortex that evolves in a time-dependent strain environment. We establish parameters leading to parametric instability of stationary steady-state configuration using a combination of analytical and numerical techniques. Our findings may contribute to a deeper understanding of the coherent vortex dynamics in the ocean.