Noise-induced shift of singularities in the pattern of optimal paths

Bandrivskyy, A. and Beri, S. and Luchinsky, D. G. (2003) Noise-induced shift of singularities in the pattern of optimal paths. Physics Letters, Section A: General, Atomic and Solid State Physics, 314 (5-6). pp. 386-391. ISSN 0375-9601

Abstract

We analyse the non-equilibrium distribution in dissipative dynamical systems at finite noise intensities. The effect of finite noise is described in terms of topological changes in the pattern of optimal paths. Theoretical predictions are in good agreement with the numerical results.