Multiscroll chaotic attractors from a hysteresis based time-delay differential equation

Kilinc S., YALCIN M. E., Ozoguz S.

International Journal of Bifurcation and Chaos, cilt.20, sa.10, ss.3275-3281, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 10
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1142/s0218127410027660
  • Dergi Adı: International Journal of Bifurcation and Chaos
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3275-3281
  • Anahtar Kelimeler: Multiscroll chaotic attractors, time-delay systems, chaotic circuits, OSCILLATOR, GENERATION, CIRCUIT, DESIGN, SERIES, SYSTEM
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, the generation of multiscroll chaotic attractors derived from a time-delay differential equation is presented. The proposed system is represented by only one first-order differential equation including time-delayed state variable, and employs hysteresis function as the nonlinear characteristic. The generalization of the introduced system is based on adding multihysteresis nonlinear characteristic which leads to n-scroll chaotic attractors. The circuit implementation of the proposed system and some experimental results referring to two-, three-, four-, and five-scroll chaotic attractors are reported.