Analysis of an on-off intermittency system with adjustable state levels

Title:

Analysis of an on-off intermittency system with adjustable state levels

Creator:

Cang, Shi-Jian, Chen, Zeng-Qiang, and Yuan, Zhu-Zhi

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9cce9f23-9462-42b1-bbab-99a07f873113
uuid:9cce9f23-9462-42b1-bbab-99a07f873113

Subject:

on-off intermittency, multi-state, invariant subspace, control analysis, and statistical analysis

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider a chaotic system with a double-scroll attractor proposed by Elwakil, composing with a second-order system, which has low-dimensional multiple invariant subspaces and multi-level on-off intermittency. This type of composite system always includes a skew-product structure and some invariant subspaces, which are associated with different levels of laminar phase. In order for the level of laminar phase be adjustable, we adopt a nonlinear function with saturation characteristic to tune the range of a certain state variable so that the number and position of the laminar phase level can be arbitrarily controlled. We find that there exist many interesting statistical characteristics in this complex system, such as the probability distribution of the laminar lengths with -3/2 exponent in the power law and random jumping of the system trajectories.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[455]-468

Source:

Kybernetika | 2008 Volume:44 | Number:4

Harvested from:

CDK

Metadata only:

false