6 papers
-kinks in strongly ac driven sine-Gordon systems
Vadim Zharnitsky, Igor Mitkov, Niels Grønbech-Jensen
We demonstrate that -kinks exist in non-parametrically ac driven sine-Gordon systems if the ac drive is sufficiently fast. It is found that, at a critical value of the drive amp…
Parametrically forced sine-Gordon equation and domain walls dynamics in ferromagnets
Vadim Zharnitsky, Igor Mitkov, Mark Levi
A parametrically forced sine-Gordon equation with a fast periodic {\em mean-zero} forcing is considered. It is shown that -kinks represent a class of solitary-wave solutions of…
Helicoidal instability of a scroll vortex in three-dimensional reaction-diffusion systems
Igor Aranson, Igor Mitkov
We study the dynamics of scroll vortices in excitable reaction-diffusion systems analytically and numerically. We demonstrate that intrinsic three-dimensional instability of a stra…
Dynamics of Wetting Fronts in Porous Media
Igor Mitkov, Daniel M. Tartakovsky, C. Larrabee Winter
We propose a new phenomenological approach for describing the dynamics of wetting front propagation in porous media. Unlike traditional models, the proposed approach is based on dy…
Higher order Shapiro steps in ac-driven Josephson junctions
Kim O. Rasmussen, Vadim Zharnitsky, Igor Mitkov +1
We demonstrate that the well known phase-locking mechanism leading to Shapiro steps in ac-driven Josephson junctions is always accompanied by a higher order phase-locking mechanism…
Tunable Pinning of Burst-Waves in Extended Systems with Discrete Sources
Igor Mitkov, Konstantin Kladko, John E. Pearson
We study the dynamics of waves in a system of diffusively coupled discrete nonlinear sources. We show that the system exhibits burst waves which are periodic in a traveling-wave re…