Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control
Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2018-12-01
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| Series: | Iranian Journal of Physics Research |
| Subjects: | |
| Online Access: | http://ijpr.iut.ac.ir/browse.php?a_code=A-10-2505-2&slc_lang=en&sid=1 |
| _version_ | 1819266249858744320 |
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| author | M. D Moinul Islam S Basu D Halder A De S Bhattacharya |
| author_facet | M. D Moinul Islam S Basu D Halder A De S Bhattacharya |
| author_sort | M. D Moinul Islam |
| collection | DOAJ |
| description | Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amplitude (Vin) and frequency (f), disentangling each other. Recently, Vin-driven chaotic dynamics was 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 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 PSPICE simulation. The circuit moves into complete chaos at f=270 Hz, while period-2 bifurcation appears at f=680 Hz for constant Vin 0.9V. The chaos control is also achieved by two simple methods. In the first method, the variation of circuit parameter (capacitance) induces chaos control. In the second method, synchronization is achieved by coupling two similar oscillators. These two methods, though apparently simple, could be highly beneficial for using DH in secure communication. |
| first_indexed | 2024-12-23T20:58:17Z |
| format | Article |
| id | doaj.art-dd037a3329a14ff2a5ddf394c7772556 |
| institution | Directory Open Access Journal |
| issn | 1682-6957 2345-3664 |
| language | English |
| last_indexed | 2024-12-23T20:58:17Z |
| publishDate | 2018-12-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Iranian Journal of Physics Research |
| spelling | doaj.art-dd037a3329a14ff2a5ddf394c77725562022-12-21T17:31:27ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642018-12-01183492492Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its controlM. D Moinul Islam0S Basu1D Halder2A De3S Bhattacharya4 Department of Physics, Barasat Govt. College, Kolkata, W.B., India Radiological Physics and Advisory Division, Bhaba Atomic Research Centre, Mumbai, India Department of Physics, Kingston Educational Institute, Kolkata, India Raniganj Girls’ College, Raniganj, Burdwan, W.B., India Department of Physics, Barasat Govt. College, Kolkata, W.B., India Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amplitude (Vin) and frequency (f), disentangling each other. Recently, Vin-driven chaotic dynamics was 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 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 PSPICE simulation. The circuit moves into complete chaos at f=270 Hz, while period-2 bifurcation appears at f=680 Hz for constant Vin 0.9V. The chaos control is also achieved by two simple methods. In the first method, the variation of circuit parameter (capacitance) induces chaos control. In the second method, synchronization is achieved by coupling two similar oscillators. These two methods, though apparently simple, could be highly beneficial for using DH in secure communication.http://ijpr.iut.ac.ir/browse.php?a_code=A-10-2505-2&slc_lang=en&sid=1nonlinear dynamicschaosDuffing-Holmes oscillatorelectronic circuitMATLABPSPICEchaos control |
| spellingShingle | M. D Moinul Islam S Basu D Halder A De S Bhattacharya Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control Iranian Journal of Physics Research nonlinear dynamics chaos Duffing-Holmes oscillator electronic circuit MATLAB PSPICE chaos control |
| title | Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control |
| title_full | Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control |
| title_fullStr | Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control |
| title_full_unstemmed | Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control |
| title_short | Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control |
| title_sort | frequency driven chaos in the electrical circuit of duffing holmes oscillator and its control |
| topic | nonlinear dynamics chaos Duffing-Holmes oscillator electronic circuit MATLAB PSPICE chaos control |
| url | http://ijpr.iut.ac.ir/browse.php?a_code=A-10-2505-2&slc_lang=en&sid=1 |
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