Random attractors for stochastic discrete long wave-short wave resonance equations driven by fractional Brownian motions | Zendy

Ranran Liu | Zendy; Hui Liu | Zendy; Jie Xin | Zendy

Open Access

Random 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.

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