A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

Joint Authors

Yang, Chun-de
Huang, Kun
Zhou, Ping

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-10

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced.

There is no-chaotic behavior for its corresponded integer-order system.

We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor.

A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system.

Numerical simulations is verified the effectiveness of the proposed scheme.

American Psychological Association (APA)

Zhou, Ping& Huang, Kun& Yang, Chun-de. 2013. A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-507363

Modern Language Association (MLA)

Zhou, Ping…[et al.]. A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-507363

American Medical Association (AMA)

Zhou, Ping& Huang, Kun& Yang, Chun-de. A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-507363

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-507363