Brownian motion of spiral waves driven by spatiotemporal structured noise

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Noise-induced Brownian motion of spiral waves.

We study the erratic displacement of spiral waves forced to move in a medium with random spatiotemporal excitability. Analytical work and numerical simulations are performed in relation to a kinematic scheme, assumed to describe the autowave dynamics for weakly excitable systems. Under such an approach, the Brownian character of this motion is proved and the corresponding dispersion coefficient...

The Effects of Different SDE Calculus on Dynamics of Nano-Aerosols Motion in Two Phase Flow Systems

Langevin equation for a nano-particle suspended in a laminar fluid flow was analytically studied. The Brownian motion generated from molecular bombardment was taken as a Wiener stochastic process and approximated by a Gaussian white noise. Euler-Maruyama method was used to solve the Langevin equation numerically. The accuracy of Brownian simulation was checked by performing a series of simulati...

Emergence of spatiotemporal chaos driven by far-field breakup of spiral waves in the plankton ecological systems

Alexander B. Medvinsky et al [A. B. Medvinsky, I. A. Tikhonova, R. R. Aliev, B.-L. Li, Z.-S. Lin, and H. Malchow, Phys. Rev. E 64, 021915 (2001)] and Marcus R. Garvie et al [M. R. Garvie and C. Trenchea, SIAM J. Control. Optim. 46, 775-791 (2007)] shown that the minimal spatially extended reaction-diffusion model of phytoplankton-zooplankton can exhibit both regular, chaotic behavior, and spati...

Diffusion limit for many particles in a periodic stochastic acceleration field

The one-dimensional motion of any number N of particles in the field of many independent waves (with strong spatial correlation) is formulated as a second-order system of stochastic differential equations, driven by two Wiener processes. In the limit of vanishing particle mass m → 0, or equivalently of large noise intensity, we show that the momenta of all N particles converge weakly to N indep...