skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Journal of Experimental and Theoretical Physics
 [1]
  1. Istanbul University, Department of Physics, Faculty of Science (Turkey)

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.

OSTI ID:
22472394
Journal Information:
Journal of Experimental and Theoretical Physics, Vol. 120, Issue 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
Country of Publication:
United States
Language:
English

Similar Records

Unstable behaviors of classical solutions in spinor-type conformal invariant fermionic models
Journal Article · Wed Nov 15 00:00:00 EST 2017 · Journal of Experimental and Theoretical Physics · OSTI ID:22472394

ON THE GURSEY BARYON EQUATION
Journal Article · Wed Sep 16 00:00:00 EDT 1959 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B · OSTI ID:22472394

On the modeling and nonlinear dynamics of autonomous Silva-Young type chaotic oscillators with flat power spectrum
Journal Article · Mon Dec 15 00:00:00 EST 2014 · Chaos (Woodbury, N. Y.) · OSTI ID:22472394