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Uniform attractors of stochastic two-compartment Gray-Scott system with multiplicative noise
Discrete and Continuous Dynamical Systems-Series B ( IF 1.3 ) Pub Date : 2020-03-25 , DOI: 10.3934/dcdsb.2020116
Junwei Feng , , Hui Liu , Jie Xin ,

We first show that the stochastic two-compartment Gray-Scott system generates a non-autonomous random dynamical system. Then we establish some uniform estimates of solutions for stochastic two-compartment Gray-Scott system with multiplicative noise. Finally, the existence of uniform and cocycle attractors is proved.

中文翻译:

带有乘性噪声的随机二室Gray-Scott系统的一致吸引子

我们首先表明,随机的两室式Gray-Scott系统生成了非自治随机动力系统。然后,我们建立了带乘性噪声的随机二室灰色斯科特系统解的一些统一估计。最后,证明了均一吸引子和cocycle吸引子的存在。
更新日期:2020-03-25
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