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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0012

    • Keywords

       

      Minorsky’s equation; nonlinear derivative feedback; time delay; complex dynamics; P-spice and microcontroller simulations; electronic circuit realisation

    • Abstract

       

      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.

    • Author Affiliations

       

      NGOUABO ULRICH GAËL1 2 NOUBISSIE SAMUEL2 3 FOTSIN HILAIRE BERTRAND1 WOAFO PAUL3

      1. Unité de Recherche de Matière de Condensée d’Electronique et de Traitements de Signal (UR-AMCETS), Faculté des Science, Université de Dschang, B.P. 67, Dschang, Cameroun
      2. Unité de Recherche d’Ingénierie des Systèmes Industriels et Environnement (UR-ISIE), IUT-FV de Bandjoun, Université de Dschang, P.B. 134, Bandjoun, Cameroun
      3. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaounde, Cameroun

    • Dates

       
      Published
      1 January 2020
      Manuscript received
      18 March 2019
      Manuscript revised
      13 July 2019
      Accepted
      22 August 2019
      Early published
      Unedited version published online
      Final version published online
      18 December 2019

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      Posted on July 25, 2019

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