Analysis and experimental verification of a new chaotic system with hyperbolic/non-hyperbolic equilibria

Ozturk I., KILIÇ R.

CHAOS SOLITONS & FRACTALS, cilt.117, ss.183-191, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 117
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.chaos.2018.10.028
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.183-191
  • Anahtar Kelimeler: Chaos, Nonlinear system, Non-hyperbolic equilibrium, Circuit realization, LYAPUNOV EXPONENTS, CIRCUIT, BRIDGE, GENERATION
  • Erciyes Üniversitesi Adresli: Evet

Özet

A new three dimensional ordinary differential equation-based chaotic system is proposed in this paper. Unlike the majority of the chaotic systems available in the literature, the proposed system has a hyperbolic and a non-hyperbolic equilibrium. The dynamical behavior of the system is investigated by the analysis of eigenvalues, bifurcation diagrams, and Lyapunov exponents. The chaotic behavior of the system is verified by an electronic circuit realization. The experimental behavior is in agreement with numerical investigations. (C) 2018 Elsevier Ltd. All rights reserved.