Open AccessRandom attractors for stochastic discrete long wave-short wave resonance equations driven by fractional Brownian motions
Author(s) -
Ranran Liu,
Hui Liu,
Jie Xin
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021175
Subject(s) - attractor , fractional brownian motion , hurst exponent , brownian motion , mathematics , statistical physics , stochastic process , singleton , mathematical physics , dynamical systems theory , stochastic resonance , physics , mathematical analysis , quantum mechanics , statistics , computer science , noise (video) , artificial intelligence , image (mathematics) , pregnancy , biology , genetics
We study the dynamical behavior of the solutions of stochastic discrete long wave-short wave resonance equations driven by fractional Brownian motions with Hurst parameter $ H\in(\frac{1}{2}, 1) $. And then we prove that the random dynamical system has a unique random equilibrium, which constitutes a singleton sets random attractor.