Slowing down critical transitions via Gaussian white noise and periodic force

作     者：MA JinZhong XU Yong XU Wei LI YongGe KURTHS Jirge 

作者机构：Department of Applied MathematicsNorthwestern Polytechnical UniversityXi'an 710072China MIIT Key Laboratory of Dynamics and Control of Complex SystemsNorthwestern Polytechnical UniversiyXi'an 710072China Center for Mathematical Sciences&School of Mathematics and StatisticsHuazhong University of Science and TechmologyWuhan 430074China Potsdam Institute for Climate Impact ResearchPotsdam 14412Germany Department of PhysicsHumboldt UniversityBerlin 12489Germany 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2019年第62卷第12期

页      面：2144-2152页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11772255&11872305) the Fundamental Research Funds for the Central Universities Shaanxi Province Project for Distinguished Young Scholars Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University the China Postdoctoral Science Foundation 

主　　题：critical transition slowing down bistable eutrophication model Gaussian white noise periodic force residence probability mean first passage time mean velocity 

摘      要：Stochastic perturbations and periodic excitations are generally regarded as sources to induce critical transitions in complex systems. However, we find that they are also able to slow down an imminent critical transition. To illustrate this phenomenon, a periodically driven bistable eutrophication model with Gaussian white noise is introduced as a prototype class of real *** residence probability(RP) is presented to measure the possibility that the given system stays in the oligotrophic state versus Gaussian white noise and periodic force. Variations in the mean first passage time(MFPT) and the mean velocity(MV) of the first right-crossing process are also calculated respectively. We show that the frequency of the periodic force can increase the MFPT while reduce the MV under different control parameters. Nevertheless, the noise intensity or the amplitude may result in an increase of the RP only in the case of control parameters approaching the critical values. Furthermore, for an impending critical transition, an increase of the RP appears with the interaction between the amplitude and noise intensity or the combination of the noise intensity and frequency, while the interaction of the frequency and amplitude leads to an extension of the MFPT or a decrease of the MV. As a result, an increase of the RP and MFPT, and a decrease of the MVobtained from our results claim that it is possible to slow down an imminent critical transition via Gaussian white noise and periodic force.