N -scroll chaotic attractors from a first-order time-delay differential equation

Yalcin M. E. , Ozoguz S.

Chaos, cilt.17, 2007 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • Cilt numarası: 17 Konu: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1063/1.2768403
  • Dergi Adı: Chaos


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.