Double-sided bifurcations in tent maps: Analysis and applications

Abstract

In the recent decades, applications of chaotic systems have flourished in various fields. Hence, there is an increasing demand on generalized, modified and novel chaotic systems. In this paper, we combine the general equation of jerk-based chaotic systems with simple scaled discrete chaotic maps. Numerical simulations of the properties of two systems, each with four control parameters, are presented. The parameters show interesting behaviors and dependencies among them. In addition, they exhibit controlling capabilities of the ranges of system responses, hence the size of the attractor diagram. Moreover, these behaviors and dependencies are analogous to those of the corresponding discrete chaotic maps. © 2017 IEEE.

Authors

Sayed W.S., Radwan A.G., Fahmy H.A.H.

Keywords

Attractor; Bifurcation; Logistic Map; Maximum Lyapunov Exponent; Tent Map

Document Type

Confrence Paper

Source

2017 6th International Conference on Modern Circuits and Systems Technologies, MOCAST 2017, Art. No. 7937654, Doi: 10.1109/MOCAST.2017.7937654

Scopus Link

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