n-scroll chaotic attractors from a first-order time-delay differential equation.
In this paper, a novel first-order delay differential equation capable of generating n-scroll chaotic attractor is presented. Hopf bifurcation of the introduced n-scroll chaotic system is analytically and numerically determined. The bifurcation diagram and Lyapunov spectrum of the system are calculated and the results show that the system has a chaotic regime in a wider parameter range. Furthermore, period-3 behavior has been observed on the system. Circuit realizations of two-, three-, four-, and five-scroll chaotic attractors are also presented.
Yalçin
Müştak E
ME
Electronics Engineering Department, Istanbul Technical University, Faculty of Electrical and Electronic Engineering, Maslak, TR-34469, Istanbul, Turkey. mustak.yalcin@itu.edu.tr
Ozoguz
Serdar
S