Multimodality in systems driven by Ornstein-Uhlenbeck noise. Dybiec, B. Chaos, 2024. doi abstract bibtex 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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title = {Multimodality in systems driven by Ornstein-Uhlenbeck noise},
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year = {2024},
volume = {34},
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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.},
bibtype = {article},
author = {Dybiec, B.},
doi = {10.1063/5.0228666},
journal = {Chaos},
number = {11}
}
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