Regular and chaotic interactions of two BPS dyons at low energy
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American Physical Soc
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We identify and analyze quasiperiodic and chaotic motion patterns in the time evolution of a classical, non-Abelian Bogomol'nyi-Prasad-Sommerfield (BPS) dyon pair at low energies. This system is amenable to the geodesic approximation which restricts the underlying SU(2) Yang-Mills-Higgs dynamics to an eight-dimensional phase space. We numerically calculate a representative set of long-time solutions to the corresponding Hamilton equations and analyze quasiperiodic and chaotic phase space regions by means of Poincaré surfaces of section, high-resolution power spectra and Lyapunov exponents. Our results provide clear evidence for both quasiperiodic and chaotic behavior and characterize it quantitatively. Indications for intermittency are also discussed. © 2005 The American Physical Society.
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Physical Review D. College Pk: American Physical Soc, v. 72, n. 10, 17 p., 2005.Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 72, n. 10, 2005.
