147 citations · 190 across the 28 of their papers we have counts for
3 papers · 1 filter
New Scenario to Chaos Transition in the Mappings with Discontinuities
S. V. Naydenov, A. V. Tur, A. V. Yanovsky +1
We consider a many-parametric piecewise mapping with discontinuity. That is a one dimensional model of singular dynamic system. The stability boundary are calculated analytically a…
Geometry and dynamics of billiards in symmetric phase space
Sergey V. Naydenov, Vladimir V. Yanovsky
The billiard problem of statistical physics is considered in a new geometric approach with a symmetric phase space. The structure and topological features of typical billiard phase…
Levy Anomalous Diffusion and Fractional Fokker--Planck Equation
V. V. Yanovsky, A. V. Chechkin, D. Schertzer +1
We demonstrate that the Fokker-Planck equation can be generalized into a 'Fractional Fokker-Planck' equation, i.e. an equation which includes fractional space differentiations, in…