Chaotic behavior in Chern-Simons-Higgs systems

Journal Article · Sat May 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.4677· OSTI ID:6653315

Bambah, B A ^[1]; Lakshmibala, S ^[2]; Mukku, C ^[3]; Sriram, M S ^[4]

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1. School of Physics, University of Hyderabad, Hyderabad 500134 (India)
2. Department of Physics, Indian Institute of Technology, Madras 600136 (India)
3. School of Mathematics and Computer/Information Sciences, University of Hyderabad, Hyderabad 500134 (India)
4. Department of Theoretical Physics, University of Madras, Madras 600025 (India)

We investigate the dynamical behavior of the Chern-Simons-Higgs system, with and without the Maxwell term for the case of spatial homogeneity. The pure Chern-Simons-Higgs system is shown to be integrable. Inclusion of the Maxwell term renders the system chaotic. A Painleve analysis for the Maxwell-Chern-Simons-Higgs (MCSH) system is carried out to indicate its nonintegrability. Numerical studies of the Poincare plots and Lyapunov exponents are used to establish chaotic behavior in the MCSH system.

• OSTI ID: 6653315
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
HIGGS BOSONS
LAGRANGIAN FIELD THEORY
LYAPUNOV METHOD
MATHEMATICS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY