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

Müştak E. Yalçin*, Serdar Özoguz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)

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.

Original languageEnglish
Article number033112
JournalChaos
Volume17
Issue number3
DOIs
Publication statusPublished - 2007

Funding

This work was supported by The Scientific and Technical Research Council of Turkey, under projects 105E103 and 106E093.

FundersFunder number
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu105E103, 106E093

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