3 papers
nlin.CD2024
Chaos synchronization: a review
Rosario D. Laureano, Diana A. Mendes, Manuel Alberto M. Ferreira
This article provides a self-contained comprehensive review of the phenomenon of synchronization in dynamical systems, with a particular focus on chaotic systems in both continuous…
math.DS2024
Cocycles in Lie Groups, Cochains and Regularity Problem
Rosário D. Laureano
After the fundamental work of Livschitz in [1; 2], various research directions emerged, among which the following stand out: (i) the study of cocycles with values in groups and sem…
math.HO2022
Poincaré Work on Celestial Mechanics: Predictability versus Determinism in the Context of Restricted Three-Body Problem
Rosário Laureano, Manuel Alberto M. Ferreira
The publication of Principia Mathematica in 1678 by Newton became known the celestial bodies motion laws, which characterize the Classical Mechanics. Thereafter made sense to searc…