NOISE-VANISHING CONCENTRATION AND LIMIT BEHAVIORS OF PERIODIC PROBABILITY SOLUTIONS
文献类型：期刊论文
| 作者 | Ji, Min2,3; Qi, Weiwei1,2,4; Shen, Zhongwei4; Yi, Yingfei4,5 |
| 刊名 | DIFFERENTIAL AND INTEGRAL EQUATIONS
 |
| 出版日期 | 2020-05-01 |
| 卷号 | 33期号:5-6页码:273-322 |
| ISSN号 | 0893-4983 |
| 英文摘要 | The present paper is devoted to the investigation of noisy impacts on the dynamics of periodic ordinary differential equations (ODEs). To do so, we consider a family of stochastic differential equations resulting from a periodic ODE perturbed by small white noises, and study noise-vanishing behaviors of their "steady states" that are characterized by periodic probability solutions of the associated Fokker-Plank equations. By establishing noise-vanishing concentration estimates of periodic probability solutions, we prove that any limit measure of periodic probability solutions must be a periodically invariant measure of the ODE and that the global periodic attractor of a dissipative ODE is stable under general small noise perturbations. For local periodic attractors (resp. local periodic repellers), small noises are constructed to stabilize (resp. de-stabilize) them. Our study provides an elementary step towards the understanding of stochastic stability of periodic ODEs. |
| 资助项目 | NSFC[11571344] ; China Scholarship Council ; University of Alberta ; NSERC[RGPIN-2018-04371] ; NSERC[DGECR-2018-00353] ; NSERC[1257749] ; PIMS CRG grant ; Jilin University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | KHAYYAM PUBL CO INC |
| WOS记录号 | WOS:000548743700005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51813]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ji, Min |
| 作者单位 | 1.Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 5.Jilin Univ, Sch Math, Changchun 130012, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ji, Min,Qi, Weiwei,Shen, Zhongwei,et al. NOISE-VANISHING CONCENTRATION AND LIMIT BEHAVIORS OF PERIODIC PROBABILITY SOLUTIONS[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2020,33(5-6):273-322. |
| APA | Ji, Min,Qi, Weiwei,Shen, Zhongwei,&Yi, Yingfei.(2020).NOISE-VANISHING CONCENTRATION AND LIMIT BEHAVIORS OF PERIODIC PROBABILITY SOLUTIONS.DIFFERENTIAL AND INTEGRAL EQUATIONS,33(5-6),273-322. |
| MLA | Ji, Min,et al."NOISE-VANISHING CONCENTRATION AND LIMIT BEHAVIORS OF PERIODIC PROBABILITY SOLUTIONS".DIFFERENTIAL AND INTEGRAL EQUATIONS 33.5-6(2020):273-322. |
入库方式： OAI收割
来源：数学与系统科学研究院
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