Dynamics of excited instantons in the system of forced Gursey nonlinear differential equations


Aydogmus F.

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, cilt.120, sa.2, ss.210-216, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 120 Konu: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1134/s1063776115020089
  • Dergi Adı: JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
  • Sayfa Sayıları: ss.210-216

Özet

The Gursey model is a 4D conformally invariant pure fermionic model with a nonlinear spinor self-coupled term. Gursey proposed his model as a possible basis for a unitary description of elementary particles following the "Heisenberg dream." In this paper, we consider the system of Gursey nonlinear differential equations (GNDEs) formed by using the Heisenberg ansatz. We use it to understand how the behavior of spinor-type Gursey instantons can be affected by excitations. For this, the regular and chaotic numerical solutions of forced GNDEs are investigated by constructing their Poincar, sections in phase space. A hierarchical cluster analysis method for investigating the forced GNDEs is also presented.