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- W1963526874 abstract "Based on the Riemannian geometric approach, we study chaos of the Abelian-Higgs dynamical system derived from a classical field equation consisting of a spatially homogeneous Abelian gauge field and Higgs field. Using the global indicator of chaos formulated by the sectional curvature of the ambient manifold, we show that this approach brings the same qualitative and quantitative information about order and chaos as has been provided by the Lyapunov exponents in the conventional and phenomenological approach. We confirm that the mechanism of chaos is a parametric instability of the system. By analyzing a close relation between the sectional curvature and the Gaussian curvature, we point out that the Toda-Brumer criterion becomes a sufficient condition to the criterion based on this geometric approach as to the stability condition." @default.
- W1963526874 created "2016-06-24" @default.
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- W1963526874 date "2003-01-03" @default.
- W1963526874 modified "2023-09-25" @default.
- W1963526874 title "Chaos based on Riemannian geometric approach to Abelian-Higgs dynamical system" @default.
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- W1963526874 doi "https://doi.org/10.1103/physreve.67.016201" @default.
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