1.8k citations · 3.5k across the 58 of their papers we have counts for
7 papers · 1 filter
Irreversibility of symbolic time series: a cautionary tale
Lluis Arola-Fernandez, Lucas Lacasa
Many empirical time series are genuinely symbolic: examples range from link activation patterns in network science, DNA coding or firing patterns in neuroscience to cryptography or…
Visibility graphs and symbolic dynamics
Lucas Lacasa, Wolfram Just
Visibility algorithms are a family of geometric and ordering criteria by which a real-valued time series of N data is mapped into a graph of N nodes. This graph has been shown to o…
On the degree distribution of horizontal visibility graphs associated to Markov processes and dynamical systems: diagrammatic and variational approaches
Lucas Lacasa
Dynamical processes can be transformed into graphs through a family of mappings called visibility algorithms, enabling the possibility of (i) making empirical data analysis and sig…
Horizontal Visibility graphs generated by type-II intermittency
Ángel M. Núñez, José Patricio Gómez, Lucas Lacasa
In this contribution we study the onset of chaos via type-II intermittency within the framework of Horizontal Visibility graph theory. We construct graphs associated to time series…
Horizontal Visibility graphs generated by type-I intermittency
Ángel M. Núñez, Bartolo Luque, Lucas Lacasa +2
The type-I intermittency route to (or out of) chaos is investigated within the Horizontal Visibility graph theory. For that purpose, we address the trajectories generated by unimod…
Feigenbaum graphs at the onset of chaos
Bartolo Luque, Lucas Lacasa, Alberto Robledo
We analyze the properties of the self-similar network obtained from the trajectories of unimodal maps at the transition to chaos via the horizontal visibility (HV) algorithm. We fi…