Chaos in a 4D dissipative nonlinear fermionic model

Author:

Aydogmus Fatma1

Affiliation:

1. Department of Physics, Istanbul University, Istanbul, Turkey

Abstract

Gursey Model is the only possible 4D conformally invariant pure fermionic model with a nonlinear self-coupled spinor term. It has been assumed to be similar to the Heisenberg's nonlinear generalization of Dirac's equation, as a possible basis for a unitary description of elementary particles. Gursey Model admits particle-like solutions for the derived classical field equations and these solutions are instantonic in character. In this paper, the dynamical nature of damped and forced Gursey Nonlinear Differential Equations System (GNDES) are studied in order to get more information on spinor type instantons. Bifurcation and chaos in the system are observed by constructing the bifurcation diagrams and Poincaré sections. Lyapunov exponent and power spectrum graphs of GNDES are also constructed to characterize the chaotic behavior.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Synchronization in chaotic dynamics of spinor-type fermionic ınstantons for different dimensions;International Journal of Dynamics and Control;2022-10-27

2. Synchronization of Gursey System;Sakarya University Journal of Science;2022-06-24

3. Master–slave synchronization in a 4D dissipative nonlinear fermionic system;International Journal of Control;2020-08-21

4. Soliton Dynamics in a 4D Nonlinear Spinor Field Model under White Noise;Physics of Particles and Nuclei Letters;2019-11

5. Soliton solutions of Gursey model with bichromatic force;THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019);2019

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