21 citations · 53 across the 8 of their papers we have counts for
6 papers · 1 filter
Properties of nano-islands formation in nonequilibrium reaction-diffusion systems with memory effects
Vasyl O. Kharchenko, Dmitrii O. Kharchenko, Sergei V. Kokhan +2
We study dynamics of pattern formation in systems belonging to class of reaction-Cattaneo models including persistent diffusion (memory effects of the diffusion flux). It was shown…
Stochastic effects at ripple formation processes in anisotropic systems with multiplicative noise
D. O. Kharchenko, V. O. Kharchenko, I. O. Lysenko +1
We study pattern formation processes in anisotropic system governed by the Kuramoto-Sivashinsky equation with multiplicative noise as a generalization of the Bradley-Harper model f…
Entropy driven mechanism for noise induced patterns formation in reaction-diffusion systems
D. O. Kharchenko, S. V. Kokhan, A. V. Dvornichenko
We have studied the entropy-driven mechanism leading to stationary patterns formation in stochastic systems with local dynamics and non-Fickian diffusion. We have shown that a mult…
Complexity of hierarchical ensembles
A. I. Olemskoi, S. V. Kokhan, V. I. Ostrik
Within the framework of generalized combinatorial approach, complexity is determined as a disorder measure for hierarchical statistical ensembles related to Cayley trees possessing…
Effective temperature of self--similar time series: analytical and numerical developments
Alexander Olemskoi, Sergei Kokhan
Within both slightly non--extensive statistics and related numerical model, a picture is elaborated to treat self--similar time series as a thermodynamic system. Thermodynamic--typ…
Colored noise influence on the system evolution
D. O. Kharchenko, S. Kokhan
We present a picture of phase transitions of the system with colored multiplicative noise. Considering the noise amplitude as the power-law dependence of the stochastic variable $x…