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

Advances in Difference Equations

Monagi H. Alkinani¹  Emad E. Mahmoud²  M. Higazy³  Lone Seth Jahanzaib⁴  Pushali Trikha⁴ 

[1] Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah, Saudi Arabia;Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia;Department of Mathematics, Faculty of Science, Sohag University, 82524, Sohag, Egypt;Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia;Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, 32952, Menouf, Egypt;Department of Mathematics, Jamia Millia Islamia, 110025, New Delhi, India;

关键词: Dynamical properties;    Electronic circuit;    Parallel systems;    Triple compound combination anti-synchronization;   

DOI  :  10.1186/s13662-021-03362-4

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY