Frequency– driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control

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Moinul Islam m.d.; BASU S.; Halder d.; DE A.; BHATTACHARYA S.

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Journal: Iranian Journal of Physics Research Year:2018 | Volume:18 | Issue:3 Page(s): 59-69

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Title

Frequency– driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control

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Keywords

nonlinear dynamicsQ2

chaosQ1

Duffing-Holmes oscillatorQ1

electronic circuitQ1

MATLABQ1

PSPICEQ1

chaos controlQ1

Abstract

Accurate detection of weak periodic signals within noise and the possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is, thus, very important. An elegant approach to accomplish this is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amplitude (Vin) and frequency (f), disentangling these two from each other. Recently, Vin-driven chaotic dynamics has been studied by constructing a simple Duffing-Holmes (DH) oscillator circuit. However, the f-driven characteristics of the oscillator remain unknown at constant Vin. The present work is based on the MATLAB simulation of the f-driven chaotic dynamics of the DH equation. Similar output, mixed with chaos and non-chaos, is obtained by constructing the circuit, both in lab and by PSPICE simulation. The circuit moves into complete chaos at f=270 Hz, while period-2 bifurcation appears at f=680 Hz for the constant Vin 0. 9V. The chaos control is also achieved by two simple methods. In the first method, the variation of the circuit parameter (capacitance) induces chaos control. In the second one, synchronization is achieved by coupling two similar oscillators. These two methods, though apparently simple, could be highly beneficial for using DH in secure communication.

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APA: Copy

Moinul Islam, m.d., BASU, S., Halder, d., DE, A., & BHATTACHARYA, S.. (2018). Frequency– driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control. IRANIAN JOURNAL OF PHYSICS RESEARCH, 18(3 ), 59-69. SID. https://sid.ir/paper/1860/en

Vancouver: Copy

Moinul Islam m.d., BASU S., Halder d., DE A., BHATTACHARYA S.. Frequency– driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2018;18(3 ):59-69. Available from: https://sid.ir/paper/1860/en

IEEE: Copy

m.d. Moinul Islam, S. BASU, d. Halder, A. DE, and S. BHATTACHARYA, “Frequency– driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 18, no. 3 , pp. 59–69, 2018, [Online]. Available: https://sid.ir/paper/1860/en

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