The relevance of connectance on the Lyapunov characteristic exponents of products of symplectic random matrices |
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| Affiliation: | 1. Postgraduate Program in Neuroscience, Center of Biological Sciences, Federal University of Santa Catarina, Florianópolis, Santa Catarina 88040-900, Brazil;2. Laboratory of Aging, Resources and Rheumatology, Department of Health Sciences, Federal University of Santa Catarina, Campus Araranguá, Rod. Governador Jorge Lacerda, Araranguá, Santa Catarina 88040-900, Brazil;3. Center for Studies in Public Health and Aging, Federal University of Minas Gerais, Belo Horizonte, Minas Gerais, Brazil |
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| Abstract: | We study the effect of connectance on the Lyapunov characteristic exponents of products of symplectic random matrices, which mimic the chaotic behaviour of a large class of hamiltonian systems. It is shown that no significative modifications appear in the spectrum of the Lyapunov characteristic exponents when the number of interacting neighbours is increased. |
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