Stochastic sensitivity of Turing patterns: methods and applications to the analysis of noise-induced transitions

被引:5
作者
Bashkirtseva, Irina [1 ]
Kolinichenko, Alexander [1 ]
Ryashko, Lev [1 ]
机构
[1] Ural Fed Univ, Inst Nat Sci & Math, Ekaterinburg 620000, Russia
基金
俄罗斯科学基金会;
关键词
Spatially distributed systems; Diffusion; Random disturbances; Patterns; Stochastic sensitivity; Noise-induced transitions; ATTRACTORS; BEHAVIOR; SYSTEMS;
D O I
10.1016/j.chaos.2021.111491
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a problem of the analysis of the randomly forced patterns in spatially distributed systems with diffusion is considered. For the approximation of mean-square deviations of random solutions from the unforced deterministic pattern-attractors, we suggest a constructive method based on the stochastic sensitivity technique. To demonstrate an efficiency of this method, we consider the Levin-Segel model with formation of non-homogeneous structures of the phytoplankton and herbivore populations. The spatial peculiarities of probabilistic distributions near patterns are investigated. The dependence of the stochastic sensitivity on the variation of system parameters is studied. An application of the stochastic sensitivity technique to the study of noise-induced transitions between coexisting spatial structures is demonstrated. (c) 2021 Elsevier Ltd. All rights reserved.
引用
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页数:7
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共 39 条
  • [1] Nonlinear climate dynamics: From deterministic behaviour to stochastic excitability and chaos
    Alexandrov, Dmitri V.
    Bashkirtseva, Irina A.
    Crucifix, Michel
    Ryashko, Lev B.
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2021, 902 : 1 - 60
  • [2] [Anonymous], 1998, Springer Monographs in Mathematics
  • [3] [Anonymous], 1995, Numerical Solution of Partial Differential Equations: An Introduction
  • [4] [Anonymous], 1996, FDN SYNERGETICS
  • [5] [Anonymous], 2012, CHEM OSCILLATIONS WA
  • [6] Stochastic Higgins model with diffusion: pattern formation, multistability and noise-induced preference
    Bashkirtseva, Irina
    Pankratov, Alexander
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2019, 92 (10)
  • [7] Stochastic sensitivity of regular and multi-band chaotic attractors in discrete systems with parametric noise
    Bashkirtseva, Irina
    Ryashko, Lev
    [J]. PHYSICS LETTERS A, 2017, 381 (37) : 3203 - 3210
  • [8] Boccaletti S., 2018, Synchronization: From Coupled Systems to Complex Networks
  • [9] Fluctuation-driven Turing patterns
    Butler, Thomas
    Goldenfeld, Nigel
    [J]. PHYSICAL REVIEW E, 2011, 84 (01):
  • [10] Cross M., 2009, PATTERN FORMATION DY