Advances in Difference Equations (Apr 2021)

Application of triple compound combination anti-synchronization among parallel fractional snap systems & electronic circuit implementation

  • Emad E. Mahmoud,
  • Pushali Trikha,
  • Lone Seth Jahanzaib,
  • M. Higazy,
  • Monagi H. Alkinani

DOI
https://doi.org/10.1186/s13662-021-03362-4
Journal volume & issue
Vol. 2021, no. 1
pp. 1 – 26

Abstract

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Abstract In this article we examine the dynamical properties of the fractional version of the snap system by means of chaotic attractor, existence, and uniqueness of the solution, symmetry, dissipativity, stagnation point analysis, Lyapunov dynamics, K.Y. dimension, bifurcation diagram, etc. Also, parallel systems to this system are synchronized in presence of uncertainties and external disturbances using triple compound combination anti-synchronization by two ways. Synchronization time is compared with some other works. Also the utilization of achieved synchronization is illustrated in secure transmission. By constructing the snap system’s signal flow graph and its real electronic circuit, some of its additional invariants are investigated.

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