scholarly journals Analysis of chaotic and regular behavior of Matinyan–Yang–Mills–Higgs Hamiltonian system

2020 ◽  
Vol 44 (1) ◽  
pp. 1-9
Author(s):  
Engin KANDIRAN ◽  
Avadis HACINLIYAN
Keyword(s):  
Hamiltonian System ◽  
Yang Mills ◽  
Regular Behavior

scholarly journals Non-integrability of generalized Yang-Mills Hamiltonian system

2013 ◽  
Vol 33 (4) ◽  
pp. 1645-1655 ◽  
Author(s):  
Shaoyun Shi ◽  
◽  
Wenlei Li ◽  
Keyword(s):  
Hamiltonian System ◽  
Yang Mills

LOCALIZING BOUNDS FOR COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS POSSESSING FIRST INTEGRALS WITH APPLICATIONS TO HAMILTONIAN SYSTEMS

2010 ◽  
Vol 20 (05) ◽  
pp. 1477-1483 ◽  
Author(s):  
KONSTANTIN E. STARKOV
Keyword(s):  
Hamiltonian System ◽  
Nonlinear Systems ◽  
Hamiltonian Systems ◽  
Positive Definite ◽  
First Integrals ◽  
Invariant Sets ◽  
Yang Mills ◽  
First Order ◽  
Special Case ◽  
Extremum Conditions

In this paper, we study the localization problem of compact invariant sets of nonlinear systems possessing first integrals by using the first order extremum conditions and positive definite polynomials. In the case of natural polynomial Hamiltonian systems, our results include those in [Starkov, 2008] as a special case. This paper discusses the application to studies of the generalized Yang–Mills Hamiltonian system and the Hamiltonian system describing dynamics of hydrogenic atoms in external fields.

scholarly journals Periodic orbits for the generalized Yang–Mills Hamiltonian system in dimension 6

2014 ◽  
Vol 76 (3) ◽  
pp. 1807-1819 ◽  
Author(s):  
Fatima Ezzahra Lembarki ◽  
Jaume Llibre
Keyword(s):  
Hamiltonian System ◽  
Periodic Orbits ◽  
Yang Mills

Chaotic versus regular behavior in Yang-Mills theories

1995 ◽  
Vol 52 (6) ◽  
pp. 3700-3703 ◽  
Author(s):  
A. Nicolaidis ◽  
S. Ichtiaroglou ◽  
G. Voyatzis
Keyword(s):  
Yang Mills ◽  
Regular Behavior
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