224 citations · 1.6k across the 39 of their papers we have counts for
38 papers
Fractional dynamics of systems with long-range interaction
Vasily E. Tarasov, George M. Zaslavsky
We consider one-dimensional chain of coupled linear and nonlinear oscillators with long-range power wise interaction defined by a term proportional to 1/|n-m|^{α+1}. Continuous med…
Fractional Equations of Kicked Systems and Discrete Maps
Vasily E. Tarasov, George M. Zaslavsky
Starting from kicked equations of motion with derivatives of non-integer orders, we obtain "fractional" discrete maps. These maps are generalizations of well-known universal, stand…
Superdiffusion in the Dissipative Standard Map
G. M. Zaslavsky, M. Edelman
We consider transport properties of the chaotic (strange) attractor along unfolded trajectories of the dissipative standard map. It is shown that the diffusion process is normal ex…
Fokker-Planck Equation with Fractional Coordinate Derivatives
Vasily E. Tarasov, George M. Zaslavsky
Using the generalized Kolmogorov-Feller equation with long-range interaction, we obtain kinetic equations with fractional derivatives with respect to coordinates. The method of suc…
Dynamics of the Chain of Oscillators with Long-Range Interaction: From Synchronization to Chaos
G. M Zaslavsky, M. Edelman, V. E. Tarasov
We consider a chain of nonlinear oscillators with long-range interaction of the type 1/l^{1+alpha}, where l is a distance between oscillators and 0< alpha <2. In the continues limi…
Sensitivity of ray paths to initial condition
A. Iomin, G. M. Zaslavsky
Using a parabolic equation, we consider ray propagation in a waveguide with the sound speed profile that corresponds to the dynamics of a nonlinear oscillator. An analytical consid…