Numerical and microcontroller simulations, and electronic circuit realisation of Minorsky’s equation
This work deals with the mathematical analysis, numerical and microcontroller simulations and electronic circuit realisation of the dynamics of Minorsky’s equation. We consider the model including the nonlinear derivative feedback with delay. The study of stability is done by linearising the equatio...
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| Veröffentlicht in: | Pramāṇa 2020-12, Vol.94 (1), Article 12 |
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| creator | Gaël, Ngouabo Ulrich Samuel, Noubissie Bertrand, Fotsin Hilaire Paul, Woafo |
| description | This work deals with the mathematical analysis, numerical and microcontroller simulations and electronic circuit realisation of the dynamics of Minorsky’s equation. We consider the model including the nonlinear derivative feedback with delay. The study of stability is done by linearising the equation. An alternation between the zones of stability and instability as a function of the values of the delay is found. The bifurcation diagrams allowed us to validate the analytical predictions. These bifurcation diagrams show Hopf bifurcations and complex dynamics of the system. The analog and microcontroller simulations together with the experimental analysis were carried out in order to validate the theoretical analysis. |
| doi_str_mv | 10.1007/s12043-019-1867-3 |
| format | Article |
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| ispartof | Pramāṇa, 2020-12, Vol.94 (1), Article 12 |
| issn | 0304-4289 0973-7111 |
| language | eng |
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| source | Indian Academy of Sciences; SpringerLink Journals |
| subjects | Astronomy Astrophysics and Astroparticles Bifurcations Circuits Computer simulation Delay Electronic circuits Hopf bifurcation Mathematical analysis Microcontrollers Observations and Techniques Physics Physics and Astronomy Stability |
| title | Numerical and microcontroller simulations, and electronic circuit realisation of Minorsky’s equation |
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