AI Article Synopsis
- The study investigates how noise affects nonlinear dynamical systems, focusing on single-well potentials described by |x|n (where n>0).
- It analyzes the transition from unimodal to bimodal stationary states in these systems, specifically identifying the critical point at n=2.
- The research also examines the influence of adding a harmonic component to the single-well potentials, highlighting its potential positive or negative impacts on system behavior.
Article Abstract
The presence of noise in nonlinear dynamical systems can significantly change their properties. Here, we study the properties of a noise perturbed motion in a single-well potential of |x|n (n>0) type. We explore under what conditions the action of the Ornstein-Uhlenbeck noise induces bimodality of stationary states in static, single-well, power-law potentials. In particular, we inspect the transition from unimodality (n⩽2) to bimodality (n>2). Results of numerical simulations are compared with estimates obtained from the unified colored-noise approximation. Furthermore, we explore the role of a harmonic addition to the general single-well power-law potentials showing its constructive or destructive role.
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| http://dx.doi.org/10.1063/5.0228666 | DOI Listing |
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