{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:57:56Z","timestamp":1760057876817,"version":"build-2065373602"},"reference-count":49,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T00:00:00Z","timestamp":1740873600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Priority Research Area DigiWorld"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The properties of dynamical systems driven by noise are determined by the combined action of deterministic forces and random fluctuations. The action of non-white (correlated) noise is capable of producing stationary states with a number of modes larger than the number of (stable) fixed points of the deterministic potential. In particular, the action of Ornstein\u2013Uhlenbeck noise can induce the bimodality of the stationary states in fixed single-well potentials. Here, we study the emergence of dynamical multimodality in systems subject to the simultaneous action of Ornstein\u2013Uhlenbeck and Markovian dichotomous noise in 1D and 2D setups. The randomization of the potential due to the action of dichotomous noise can be used to control the number of modes in the stationary states.<\/jats:p>","DOI":"10.3390\/e27030263","type":"journal-article","created":{"date-parts":[[2025,3,3]],"date-time":"2025-03-03T07:37:17Z","timestamp":1740987437000},"page":"263","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Dynamical Multimodality in Systems Driven by Ornstein\u2013Uhlenbeck Noise"],"prefix":"10.3390","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6059-0370","authenticated-orcid":false,"given":"Micha\u0142","family":"Mandrysz","sequence":"first","affiliation":[{"name":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. St. \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6540-3906","authenticated-orcid":false,"given":"Bart\u0142omiej","family":"Dybiec","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. St. \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,2]]},"reference":[{"key":"ref_1","unstructured":"Horsthemke, W., and Lefever, R. (1984). Noise-Inducted Transitions. Theory and Applications in Physics, Chemistry, and Biology, Springer."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2649","DOI":"10.1142\/S0218127408021877","article-title":"L\u00e9vy flight superdiffusion: An introduction","volume":"18","author":"Dubkov","year":"2008","journal-title":"Int. J. Bifurc. 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