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n-scroll chaotic attractors from a first-order time-delay differential equation
Müştak E Yalçin1, Serdar Ozoguz
1Electronics Engineering Department, Istanbul Technical University, Faculty of Electrical and Electronic Engineering, Maslak, TR-34469, Istanbul, Turkey. mustak.yalcin@itu.edu.tr
Abstract:
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.
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