Dynamical Multimodality in Systems Driven by Ornstein–Uhlenbeck Noise

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 th...

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Vydáno v:Entropy (Basel, Switzerland) Ročník 27; číslo 3; s. 263
Hlavní autoři: Mandrysz, Michał, Dybiec, Bartłomiej
Médium: Journal Article
Jazyk:angličtina
Vydáno: Switzerland MDPI AG 02.03.2025
MDPI
Témata:
Approximation
dichotomous noise
Dynamical systems
Noise
Numerical analysis
Ordinary differential equations
Ornstein–Uhlenbeck process
Random noise theory
Random variables
stationary density
stochastic dynamics
Stochastic models
Poland
stationary density
Ornstein–Uhlenbeck process
dichotomous noise
stochastic dynamics
ISSN:1099-4300, 1099-4300
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Abstract 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–Uhlenbeck 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–Uhlenbeck 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.
AbstractList 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-Uhlenbeck 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-Uhlenbeck 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.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-Uhlenbeck 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-Uhlenbeck 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.
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–Uhlenbeck 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–Uhlenbeck 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.
Audience Academic
Author Dybiec, Bartłomiej
Mandrysz, Michał
AuthorAffiliation 1 Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Kraków, Poland
2 Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Kraków, Poland
AuthorAffiliation_xml – name: 1 Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Kraków, Poland
– name: 2 Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Kraków, Poland
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  givenname: Michał
  orcidid: 0000-0001-6059-0370
  surname: Mandrysz
  fullname: Mandrysz, Michał
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  givenname: Bartłomiej
  orcidid: 0000-0002-6540-3906
  surname: Dybiec
  fullname: Dybiec, Bartłomiej
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Issue 3
Keywords stationary density
Ornstein–Uhlenbeck process
dichotomous noise
stochastic dynamics
Language English
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Snippet The properties of dynamical systems driven by noise are determined by the combined action of deterministic forces and random fluctuations. The action of...
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StartPage 263
SubjectTerms Approximation
dichotomous noise
Dynamical systems
Noise
Numerical analysis
Ordinary differential equations
Ornstein–Uhlenbeck process
Random noise theory
Random variables
stationary density
stochastic dynamics
Stochastic models
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Title Dynamical Multimodality in Systems Driven by Ornstein–Uhlenbeck Noise
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