A fractional map with hidden attractors: chaos and control

被引：0

作者：

Amina Aicha Khennaoui

Adel Ouannas

Salah Boulaaras

Viet-Thanh Pham

Ahmad Taher Azar

机构：

[1] Laboratory of dynamical systems and control,Department of Mathematics

[2] University Larbi Ben M’hidi,undefined

[3] Laboratory of Mathematics,undefined

[4] Informatics and Systems (LAMIS),undefined

[5] University of Laarbi Tebessi,undefined

[6] College of Humanities and Sciences,undefined

[7] Ajman University,undefined

[8] College of Sciences and Arts,undefined

[9] Qassim University,undefined

[10] Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO) University of Oran 1,undefined

[11] Modeling Evolutionary Algorithms Simulation and Artificial Intelligent,undefined

[12] Faculty of Electrical & Electronics Engineering,undefined

[13] Ton Duc Thang University,undefined

[14] College of Engineering,undefined

[15] Prince Sultan University,undefined

[16] Faculty of Computers and Artificial Intelligence,undefined

[17] Benha University,undefined

来源：

The European Physical Journal Special Topics | 2020年 / 229卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper studies the dynamics of a new fractional-order map with no fixed points. Through phase plots, bifurcation diagrams, largest Lyapunov exponent, it is shown that the proposed fractional map exhibit chaotic and periodic behavior. New Hidden chaotic attractors are observed, and transient state is found to exist. Complexity of the new map is also analyzed by employing approximate entropy. Results, show that the fractional map without fixed point have high complexity for certain fractional order. In addition, a control scheme is introduced. The controllers stabilize the states of the fractional map and ensure their convergence to zero asymptotically. Numerical results are used to verify the findings.

引用

页码：1083 / 1093

页数：10

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