Stochastic sensitivity analysis of the attractors for the randomly forced Ricker model with delay

被引:16
作者
Bashkirtseva, Irina [1 ]
Ryashko, Lev [1 ]
机构
[1] Ural Fed Univ, Ekaterinburg 620083, Russia
关键词
Stochastic attractors; Closed invariant curves; Stochastic sensitivity; Ricker model with delay; NOISE; STABILITY; SYSTEMS;
D O I
10.1016/j.physleta.2014.10.022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Stochastically forced regular attractors (equilibria, cycles, closed invariant curves) of the discrete-time nonlinear systems are studied. For the analysis of noisy attractors, a unified approach based on the stochastic sensitivity function technique is suggested and discussed. Potentialities of the elaborated theory are demonstrated in the parametric analysis of the stochastic Ricker model with delay nearby Neimark-Sacker bifurcation. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:3600 / 3606
页数:7
相关论文
共 34 条
  • [1] Anishchenko V. S., 2007, NONLINEAR DYNAMICS C
  • [2] [Anonymous], 1986, HDB STOCHASTIC METHO
  • [3] [Anonymous], 2004, ELEMENTS APPL BIFURC
  • [4] [Anonymous], 1984, Random Perturbations of Dynamical Systems
  • [5] [Anonymous], 1964, 333 IMMNYU
  • [6] Arnold L, 1998, Random dynamical systems
  • [7] Local stability implies global stability for the 2-dimensional Ricker map
    Bartha, Ferenc A.
    Garab, Abel
    Krisztin, Tibor
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (12) : 2043 - 2078
  • [8] Sensitivity analysis of stochastic attractors and noise-induced transitions for population model with Allee effect
    Bashkirtseva, I.
    Ryashko, L.
    [J]. CHAOS, 2011, 21 (04)
  • [9] Bashkirtseva I., 2010, Dyn. Contin. Discrete Impuls. Syst. A, V17, P501
  • [10] Sensitivity analysis of the stochastically and periodically forced Brusselator
    Bashkirtseva, IA
    Ryashko, LB
    [J]. PHYSICA A, 2000, 278 (1-2): : 126 - 139