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Autores
Orientador(es)
Resumo(s)
In this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron-Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of its associated nonautonomous graph.
Descrição
Palavras-chave
Nonautonomous dynamical systems Symbolic dynamics Graphs Entropy
Contexto Educativo
Citação
ALVES, João Ferreira; SILVA, Luís Manuel Ferreira da - Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems. International Journal of Bifurcation and Chaos. ISSN. 0218-1274. Vol. 25, N.º 6 (2015), pp. 1550079-1-1550079-9.
Editora
World Scientific Publishing CO PTE LTD