Confidence Domains in the Analysis of Noise-Induced Transition to Chaos for Goodwin Model of Business Cycles

被引：16
|
作者：
Bashkirtseva, Irina [1 ]
Ryazanova, Tatyana [1 ]
Ryashko, Lev [1 ]
机构：
[1] Ural Fed Univ, Ekaterinburg 620083, Russia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2014年 / 24卷 / 08期
关键词：
Noise-induced transitions; chaos; random disturbances; Goodwin model of business cycles; NONLINEAR ACCELERATOR; STABILITY; ATTRACTORS;
D O I：
10.1142/S0218127414400203
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Stochastically forced Goodwin model of business cycles is considered. In a multistable zone, we study the phenomena of noise-induced transitions and chaotization. To clarify a probabilistic mechanism of these phenomena found numerically, we apply a semi-analytical method based on the stochastic sensitivity function technique and confidence domains. Using elaborated method, we estimate a critical value of the noise intensity corresponding to the onset of chaos.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Noise-induced transitions in a stochastic Goodwin-type business cycle model
    Jungeilges, Jochen
    Ryazanova, Tatyana
    [J]. STRUCTURAL CHANGE AND ECONOMIC DYNAMICS, 2017, 40 : 103 - 115
  • [2] Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics
    Bashkirtseva, Irina
    Ivanenko, Grigoriy
    Mordovskikh, Dmitrii
    Ryashko, Lev
    [J]. MATHEMATICS, 2023, 11 (08)
  • [3] Stabilization of stochastic cycles and control of noise-induced chaos
    Irina Bashkirtseva
    [J]. The European Physical Journal B, 2014, 87
  • [4] Stabilization of stochastic cycles and control of noise-induced chaos
    Bashkirtseva, Irina
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2014, 87 (04):
  • [5] Method of confidence domains in the analysis of noise-induced extinction for tritrophic population system
    Bashkirtseva, Irina
    Ryashko, Lev
    Ryazanova, Tatyana
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2017, 90 (09):
  • [6] Method of confidence domains in the analysis of noise-induced extinction for tritrophic population system
    Irina Bashkirtseva
    Lev Ryashko
    Tatyana Ryazanova
    [J]. The European Physical Journal B, 2017, 90
  • [7] Analysis of the Noise-Induced Regimes in Ricker Population Model with Allee Effect via Confidence Domains Technique
    Bashkirtseva, Irina
    Ryashko, Lev
    [J]. BIOMED RESEARCH INTERNATIONAL, 2014, 2014
  • [8] Noise-induced chaos
    Gao, JB
    Chen, CC
    Hwang, SK
    Liu, JM
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1999, 13 (28): : 3283 - 3305
  • [9] NOISE-INDUCED OSCILLATING BISTABILITY AND TRANSITION TO CHAOS IN FITZHUGH-NAGUMO MODEL
    Bashkirtseva, Irina
    Ryashko, Lev
    Slepukhina, Eudokia
    [J]. FLUCTUATION AND NOISE LETTERS, 2014, 13 (01):
  • [10] NOISE-INDUCED TRANSITION IN LORENTZ MODEL
    ANISHCHENKO, VS
    NEIMAN, AB
    [J]. PISMA V ZHURNAL TEKHNICHESKOI FIZIKI, 1991, 17 (14): : 43 - 47
12345