Synchronization in chaotic dynamics of spinor-type fermionic ınstantons for different dimensions

AYDOĞMUŞ ŞEN F.

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, cilt.11, sa.3, ss.1050-1059, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s40435-022-01060-x
  • Dergi Adı: INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1050-1059
  • Anahtar Kelimeler: Control, Fermionic, Instanton, Nonlinear, Spinor, Synchronization
  • İstanbul Üniversitesi Adresli: Evet

Özet

It is known that the investigation of chaos synchronization in nonlinear dynamical systems is very important in many fields of science and technology. In this study, synchronization conditions of two chaotic fermionic systems with different dimensions are presented mathematically and numerically for the first time in the literature. A nonlinear control is proposed for the synchronization of chaotic behaviors in a 4D spinor-type fermionic Dirac-Gursey instantons and 2D spinor-type fermionic Thirring instantons based on active control method. The proposed controllers ensure that the states of the controlled chaotic slave systems asymptotically synchronize the states of the master systems. Numerical simulations are also given to illuminate the design procedure and feasibility of the active control technique. The numerical results show that the used method has practically high performance.