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Dynamic Analysis of a Snap Oscillator Based on a Unique Diode Nonlinearity Effect, Offset Boosting Control and Sliding Mode Control Design for Global Chaos Synchronization

  • S. F. Takougang TchindaEmail author
  • G. Mpame
  • A. C. Nzeukou Takougang
  • V. Kamdoum Tamba
Article
  • 102 Downloads

Abstract

This paper focuses on the behavior of a specific class of oscillator (snap) under a unique diode effect by checking the complex dynamic of the proposed oscillator. From linear and nonlinear analysis methods, the numerical integration of the system such as, fixed-point and stability analysis, bifurcation diagrams, Kaplan–Yorke dimension, Lyapunov exponent spectrum, frequency spectra, Poincaré section and cross section of basins of attraction reveals that oscillator is chaotic and the chaotic robustness of the system depends on parameters changing. To the best knowledge of the authors, the system is the simplest in its category but the study revealed some interesting phenomena: asymmetric coexisting attractors, antimonotonicity phenomenon and even period-doubling bifurcation. These phenomena confer oscillating the quality of multistable or resistance to attacks in engineering application of data encryption. Furthermore, an offset boosting operation of a variable is used to control attractors and a robust sliding mode control for control engineering application of the system is designed to achieve global chaos synchronization based on Lyapunov stability theory. An appropriate electronic circuit or analog simulator is designed; PSpice simulations demonstrate feasible the proposed snap.

Keywords

Snap oscillator Asymmetric coexisting attractors Offset boosting Circuit realization Sliding mode control Chaos synchronization 

Notes

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Copyright information

© Brazilian Society for Automatics--SBA 2019

Authors and Affiliations

  1. 1.UR de Matière Condensée, d’Electronique et de Traitement du Signal(LAMACETS), Department of PhysicsUniversity of DschangDschangCameroun
  2. 2.UR d’Automatique et Informatique Appliquée (LAIA), Department of Electrical Engineering, IUT-FV BandjounUniversity of DschangDschangCameroun
  3. 3.Department of Telecommunication and Network Engineering, IUT-FVBandjoun, University of DschangDschangCameroun

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