A New Feigenbaum-Like Chaotic 3D System

Joint Authors

Lin, Yiping
Zhao, Huitao
Dai, Yunxian

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-13

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

Based on Sprott N system, a new three-dimensional autonomous system is reported.

It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension.

To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincaré mapping, and period-doubling route to chaos are analyzed with careful numerical simulations.

The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor.

American Psychological Association (APA)

Zhao, Huitao& Lin, Yiping& Dai, Yunxian. 2014. A New Feigenbaum-Like Chaotic 3D System. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-463900

Modern Language Association (MLA)

Zhao, Huitao…[et al.]. A New Feigenbaum-Like Chaotic 3D System. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-463900

American Medical Association (AMA)

Zhao, Huitao& Lin, Yiping& Dai, Yunxian. A New Feigenbaum-Like Chaotic 3D System. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-463900

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463900