EconPapers    
Economics at your fingertips  
 

Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps

I. Bashkirtseva and L. Ryashko

Chaos, Solitons & Fractals, 2019, vol. 126, issue C, 78-84

Abstract: A response of chaotic discrete-time dynamical systems on parametric random disturbances is considered. For two-dimensional stochastic systems with non-invertible maps, a dispersion of random states near chaotic attractors is studied. To analyse the dispersion near the border of the chaotic attractor, we elaborate an asymptotic approach based on the stochastic sensitivity technique. In this analysis, critical curves defining parts of this border are used. An application of this theory to the study of the dispersion of random states near borders of chaotic attractors is given on the example of the Sprott model. Constructive abilities of the elaborated approach for the analysis of noise-induced escape from the basin of the chaotic attractor are demonstrated.

Keywords: Chaotic attractors; Non-invertible maps; Random disturbances; Stochastic sensitivity; Noise-induced transitions (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919301973
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:126:y:2019:i:c:p:78-84

DOI: 10.1016/j.chaos.2019.05.032

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. (repec@elsevier.com).

 
Page updated 2024-12-28
Handle: RePEc:eee:chsofr:v:126:y:2019:i:c:p:78-84