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

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 Poincaré sections in phase space. A hierarchical cluster analysis method for investigating the forced GNDEs is also presented.
Authors:
 [1]
  1. Istanbul University, Department of Physics, Faculty of Science (Turkey)
Publication Date:
OSTI Identifier:
22472394
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 120; Journal Issue: 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; DIFFERENTIAL EQUATIONS; EXCITATION; FERMIONS; INSTANTONS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PARTICLE MODELS; PHASE SPACE; SPINORS