Study of the stability of the fermionic instanton solutions by the scale index method

Yılmaz N., CANBAZ B., Akıllı M., Önem C.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.382, sa.32, ss.2118-2121, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 382 Sayı: 32
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.physleta.2018.05.031
  • Dergi Adı: Physics Letters, Section A: General, Atomic and Solid State Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2118-2121
  • Anahtar Kelimeler: Fermion-like instanton solutions, Gürsey model, Nonlinear dynamical systems, Scale index, Thirring model
  • İstanbul Yeni Yüzyıl Üniversitesi Adresli: Evet

Özet

In the last years, there has been great interest to the formulation and application of wavelet transformation in variety of fields to investigate the characteristics of dynamical systems. Recently, a method based on the scalogram analysis of the continuous wavelet transform, the scale index has been proposed to measure aperiodicity and determine the transitions from aperiodic behaviour to periodic behaviour in nonlinear dynamical systems. In this work we test the scale index method by performing the analysis of the deterministic behaviour of the fermion-like two-dimensional Akdeniz–Smailagic instanton solution in Thirring Model. We show that the scale index method can also be considered to detect the periodic behaviours of the fermion-like instanton solutions.