出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We apply different procedures to analyse integrability in a reduced (spatially homogeneous) mechanical
system derived from an off-shell non-minimally coupled N=2-D=3 Maxwell-Chern-
Simons-Higgs model. The possibility of chaotic dynamics in the evolution of the spatially homogeneous
reduced system is considered, as one conjectures its counterpart rôle with respect
to static topological excitations present in the spectrum of the full N=2 model. The analysis is
performed by means of global integrability Noether point symmetries and Painlevé criteria, chosen
to probe both the general and the critical coupling regimes. These analytical methods point
to a non-integrable behavior, which is further explored as we seek for chaotic patterns through
numerical simulations.
