title: Ergodic parameters and dynamical complexity.
abstract: Using a cocycle formulation, old and new ergodic parameters beyond the Lyapunov exponent are rigorously characterized. Dynamical Renyi entropies and fluctuations of the local expansion rate are related by a generalization of the Pesin formula. How the ergodic parameters may be used to characterize the complexity of dynamical systems is illustrated by some examples: clustering and synchronization, self-organized criticality and the topological structure of networks.
authors.affiliation: CMAF - Instituto de Investigação Interdisciplinar, UL, Av. Gama Pinto 2, 1649-003 Lisboa, Portugal. vilela@cii.fc.ul.pt
authors.forename: Rui Vilela
authors.initials: RV
authors.lastname: Mendes