A Novel Mega-stable Chaotic Circuit
In recent years designing new multistable chaotic oscillators has been of noticeable interest. A multistable system is a double-edged sword which can have many benefits in some applications while in some other situations they can be even dangerous. In this paper, we introduce a new multistable two-d...
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2020
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oai:localhost:PNK-3982022-08-17T05:54:37Z A Novel Mega-stable Chaotic Circuit Viet-Thanh PHAM Dalia Sami ALI Nadia M.G. AL-SAIDI Karthikeyan RAJAGOPAL Fawaz E. ALSAADI Sajad JAFARI Multistability chaotic oscillators basin of attraction coexisting attractors In recent years designing new multistable chaotic oscillators has been of noticeable interest. A multistable system is a double-edged sword which can have many benefits in some applications while in some other situations they can be even dangerous. In this paper, we introduce a new multistable two-dimensional oscillator. The forced version of this new oscillator can exhibit chaotic solutions which makes it much more exciting. Also, another scarce feature of this system is the complex basins of attraction for the infinite coexisting attractors. Some initial conditions can escape the whirlpools of nearby attractors and settle down in faraway destinations. The dynamical properties of this new system are investigated by the help of equilibria analysis, bifurcation diagram, Lyapunov exponents’ spectrum, and the plot of basins of attraction. The feasibility of the proposed system is also verified through circuit implementation. 2020-06-18T03:20:59Z 2020-06-18T03:20:59Z 2020 Article https://dlib.phenikaa-uni.edu.vn/handle/PNK/398 en application/pdf |
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Trường Đại học Phenikaa |
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language |
English |
topic |
Multistability chaotic oscillators basin of attraction coexisting attractors |
spellingShingle |
Multistability chaotic oscillators basin of attraction coexisting attractors Viet-Thanh PHAM Dalia Sami ALI Nadia M.G. AL-SAIDI Karthikeyan RAJAGOPAL Fawaz E. ALSAADI Sajad JAFARI A Novel Mega-stable Chaotic Circuit |
description |
In recent years designing new multistable chaotic oscillators has been of noticeable interest. A multistable system is a double-edged sword which can have many benefits in some applications while in some other situations they can be even dangerous. In this paper, we introduce a new multistable two-dimensional oscillator. The forced version of this new oscillator can exhibit chaotic solutions which makes it much more exciting. Also, another scarce feature of this system is the complex basins of attraction for the infinite coexisting attractors. Some initial conditions can escape the whirlpools of nearby attractors and settle down in faraway destinations. The dynamical properties of this new system are investigated by the help of equilibria analysis, bifurcation diagram, Lyapunov exponents’ spectrum, and the plot of basins of attraction. The feasibility of the proposed system is also verified through circuit implementation. |
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Article |
author |
Viet-Thanh PHAM Dalia Sami ALI Nadia M.G. AL-SAIDI Karthikeyan RAJAGOPAL Fawaz E. ALSAADI Sajad JAFARI |
author_facet |
Viet-Thanh PHAM Dalia Sami ALI Nadia M.G. AL-SAIDI Karthikeyan RAJAGOPAL Fawaz E. ALSAADI Sajad JAFARI |
author_sort |
Viet-Thanh PHAM |
title |
A Novel Mega-stable Chaotic Circuit |
title_short |
A Novel Mega-stable Chaotic Circuit |
title_full |
A Novel Mega-stable Chaotic Circuit |
title_fullStr |
A Novel Mega-stable Chaotic Circuit |
title_full_unstemmed |
A Novel Mega-stable Chaotic Circuit |
title_sort |
novel mega-stable chaotic circuit |
publishDate |
2020 |
url |
https://dlib.phenikaa-uni.edu.vn/handle/PNK/398 |
work_keys_str_mv |
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