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.

Details

Title
Application of triple compound combination anti-synchronization among parallel fractional snap systems & electronic circuit implementation
Author
Mahmoud, Emad E 1   VIAFID ORCID Logo  ; Trikha Pushali 2 ; Jahanzaib Lone Seth 2 ; Higazy, M 3 ; Alkinani, Monagi H 4 

1  Taif University, Department of Mathematics and Statistics, College of Science, Taif, Saudi Arabia (GRID:grid.412895.3) (ISNI:0000 0004 0419 5255); Sohag University, Department of Mathematics, Faculty of Science, Sohag, Egypt (GRID:grid.412659.d) (ISNI:0000 0004 0621 726X) 
2  Jamia Millia Islamia, Department of Mathematics, New Delhi, India (GRID:grid.411818.5) (ISNI:0000 0004 0498 8255) 
3  Taif University, Department of Mathematics and Statistics, College of Science, Taif, Saudi Arabia (GRID:grid.412895.3) (ISNI:0000 0004 0419 5255); Menoufia University, Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menouf, Egypt (GRID:grid.411775.1) (ISNI:0000 0004 0621 4712) 
4  University of Jeddah, Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, Jeddah, Saudi Arabia (GRID:grid.460099.2) 
Publication year
2021
Publication date
Apr 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-021-03362-4
ProQuest document ID
2515479859
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.