Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems

Alves, João Ferreira; Silva, Luis

http://hdl.handle.net/10400.21/6184

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Authors

Alves, João Ferreira

Silva, Luis

Abstract(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.

Keywords

Nonautonomous dynamical systems Symbolic dynamics Graphs Entropy

URI

http://hdl.handle.net/10400.21/6184

Citation

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.