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Open AccessArticle

A Giga-Stable Oscillator with Hidden and Self-Excited Attractors: A Megastable Oscillator Forced by His Twin

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Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
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Ministry of Higher Education and Scientific Research, Baghdad 10045, Iraq
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Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
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NAAM Research Group, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 535; https://doi.org/10.3390/e21050535
Received: 30 April 2019 / Revised: 20 May 2019 / Accepted: 23 May 2019 / Published: 25 May 2019
In this paper, inspired by a newly proposed two-dimensional nonlinear oscillator with an infinite number of coexisting attractors, a modified nonlinear oscillator is proposed. The original system has an exciting feature of having layer–layer coexisting attractors. One of these attractors is self-excited while the rest are hidden. By forcing this system with its twin, a new four-dimensional nonlinear system is obtained which has an infinite number of coexisting torus attractors, strange attractors, and limit cycle attractors. The entropy, energy, and homogeneity of attractors’ images and their basin of attractions are calculated and reported, which showed an increase in the complexity of attractors when changing the bifurcation parameters. View Full-Text
Keywords: chaotic oscillators; megastability; hidden attractors; entropy chaotic oscillators; megastability; hidden attractors; entropy
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MDPI and ACS Style

Vo, T.P.; Shaverdi, Y.; Khalaf, A.J.M.; Alsaadi, F.E.; Hayat, T.; Pham, V.-T. A Giga-Stable Oscillator with Hidden and Self-Excited Attractors: A Megastable Oscillator Forced by His Twin. Entropy 2019, 21, 535.

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