典型文献
Most probable transition paths in eutrophicated lake ecosystem under Gaussian white noise and periodic force
文献摘要:
The effects of stochastic perturbations and periodic excitations on the eutrophicated lake ecosystem are explored.Unlike the existing work in detecting early warning signals,this paper presents the most probable transition paths to char-acterize the regime shifts.The most probable transition paths are obtained by minimizing the Freidlin-Wentzell(FW)action functional and Onsager-Machlup(OM)action functional,respectively.The most probable path shows the movement trend of the lake eutrophication system under noise excitation,and describes the global transition behavior of the system.Under the excitation of Gaussian noise,the results show that the stability of the eutrophic state and the oligotrophic state has different results from two perspectives of potential well and the most probable transition paths.Under the excitation of Gaussian white noise and periodic force,we find that the transition occurs near the nearest distance between the stable periodic solution and the unstable periodic solution.
文献关键词:
中图分类号:
作者姓名:
Jinlian Jiang;Wei Xu;Ping Han;Lizhi Niu
作者机构:
School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an 710072,China
文献出处:
引用格式:
[1]Jinlian Jiang;Wei Xu;Ping Han;Lizhi Niu-.Most probable transition paths in eutrophicated lake ecosystem under Gaussian white noise and periodic force)[J].中国物理B(英文版),2022(06):175-182
A类:
eutrophicated,Freidlin,Wentzell,Machlup
B类:
Most,probable,transition,paths,lake,ecosystem,under,Gaussian,white,noise,periodic,force,effects,stochastic,perturbations,excitations,explored,Unlike,existing,work,detecting,early,warning,signals,this,paper,presents,most,char,acterize,regime,shifts,obtained,by,minimizing,FW,action,functional,Onsager,OM,respectively,shows,movement,trend,eutrophication,describes,global,behavior,Under,results,that,stability,state,oligotrophic,different,from,two,perspectives,potential,well,find,occurs,nearest,distance,between,solution,unstable
AB值:
0.461556
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