A New Megastable Chaotic Oscillator with Blinking Oscillation terms | Zendy

Dhinakaran Veeman | Zendy; Hayder Natiq | Zendy; Nadia M. G. Al-Saidi | Zendy; Karthikeyan Rajagopal | Zendy; Sajad Jafari | Zendy; Iqtadar Hussain | Zendy

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A New Megastable Chaotic Oscillator with Blinking Oscillation terms

Author(s) -

Dhinakaran Veeman,

Hayder Natiq,

Nadia M. G. Al-Saidi,

Karthikeyan Rajagopal,

Sajad Jafari,

Iqtadar Hussain

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/5518633

Subject(s) - attractor , limit cycle , chaotic , topological entropy , statistical physics , nonlinear system , computer science , mathematics , topology (electrical circuits) , control theory (sociology) , torus , entropy (arrow of time) , limit (mathematics) , mathematical analysis , physics , artificial intelligence , discrete mathematics , quantum mechanics , geometry , control (management) , combinatorics

Recently, megastable systems have grabbed many researchers’ interests in the area of nonlinear dynamics and chaotic systems. In this paper, the oscillatory terms’ coefficients of the simplest megastable oscillator are forced to blink in time. The forced system can generate an infinitive number of hidden attractors without changing parameters. The behavior of these hidden attractors can be chaotic, tori, and limit cycle. The attractors’ topology of the system seems unique and looks like picture frames. Besides, the existence of different coexisting attractors with different kinds of behaviors reflects the system's high sensitivity. Using the sample entropy algorithm, the system’s complexity for different initial values is assessed. In addition, the circuit of the introduced forced system is designed, and the possibility of implicating the system with analog elements is investigated.

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