Journal
CHINESE PHYSICS B
Volume 31, Issue 6, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1674-1056/ac5616
Keywords
eutrophicated lake ecosystem; Freidlin-Wentzell action functional; Onsager-Machlup action functional; most probable transition path
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Funding
- National Natural Science Foundation of China [12072261, 11872305]
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This paper explores the effects of stochastic perturbations and periodic excitations on the eutrophicated lake ecosystem. It presents the most probable transition paths to characterize the regime shifts and describes the global transition behavior of the system.
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 characterize 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.
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