Applied mathematics and Applied Analysis
(nonlinear partial differential equations, stochastic differential equations,
dynamical systems); Multi-scale Dynamics, Dynamical Systems, Chaos; Information and Coding Theory;
Mathematical Biology
- Regular and singular late-time asymptotes of potential motion of fluid with a free-boundary, Phys. Fluids 12 (2000), 3112-3120
- Nonlinear evolution of unstable fluid interface, Phys. Rec. E 66, art.036301 (2002)
- Influence of parametric forcing on non-equilibrium dynamics of wave patterns, Physics Rev. E, 75, 046208 (2007) (with O. Desjardins, A. Nepomnyaschy, H. Pitsch)
- Error Correctig sparse permutation channel codes for digital holographic data storage, Proceedings of the SPIE 6620 (2007) (with S.S. Orlov, K.V. Shcheglov, H. Liu)
- Stability of monochromatic waves induced by a parametric forcing, in preparation, (with A. Nepomnyaschy)
- An effective model for pattern recognition in neural networks, in preparation
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