Chaotic Dynamics of a Jerk Function with Hyperbolic Tangent Nonlinearity

Ozbal S., Südor H. C., Keskin A. Ü.

2018 Medical Technologies National Congress, TIPTEKNO 2018, Magusa, Kıbrıs (Gkry), 8 - 10 Kasım 2018 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/tiptekno.2018.8596866
  • Basıldığı Şehir: Magusa
  • Basıldığı Ülke: Kıbrıs (Gkry)
  • Anahtar Kelimeler: bifurcation, Chaos, jerk function, Lyapunov exponents, Poincare map
  • Acıbadem Mehmet Ali Aydınlar Üniversitesi Adresli: Hayır

Özet

This paper analyzes and reports the dynamical behavior of a jerk system used in biomedical modelling applications. This system employs a hyperbolic tangent function as a single source of nonlinearity. The system trajectories, Poincaré maps and Lyapunov exponents and spectrum, as well as Bifurcation diagram are presented to verify the chaotic dissipative behavior of the system, generating a double-scroll chaotic attractor.