A chaotic memcapacitor oscillator with two unstable equilibriums and its fractional form with engineering applications |
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| Authors: | Karthikeyan Rajagopal Akif Akgul Sajad Jafari Burak Aricioglu |
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| Affiliation: | 1.Department of Electrical and Communication Engineering,The PNG University of Technology,Lae,Papua New Guinea;2.Department of Electrical and Electronics Engineering, Faculty of Technology,Sakarya University,Sakarya,Turkey;3.Biomedical Engineering Department,Amirkabir University of Technology,Tehran,Iran |
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| Abstract: | A novel charge-controlled memcapacitor 3D chaotic oscillator with two unstable equilibriums is proposed. Various dynamic properties of the proposed system are derived and investigated to show the existence of chaotic oscillations. Fractional-order analysis of the chaotic oscillator shows that the maximum value for the largest positive Lyapunov exponent is exhibited in fractional order. Adomian decomposition method is used to discretize the fractional-order system. Field-programmable gate arrays are used to realize the proposed oscillator. In addition, random number generator is designed by employing this novel chaotic system in its fractional-order form. |
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