102 citations · 337 across the 16 of their papers we have counts for
9 papers · 1 filter
Templex: a bridge between homologies and templates for chaotic attractors
Gisela D. Charó, Christophe Letellier, Denisse Sciamarella
The theory of homologies introduces cell complexes to provide an algebraic description of spaces up to topological equivalence. Attractors in state space can be studied using Branc…
Observability analysis and observer design of networks of Rössler systems
Irene Sendiña-Nadal, Christophe Letellier
We address the problem of retrieving the full state of a network of Rössler systems from the knowledge of the actual state of a limited set of nodes. The selection of the nodes whe…
Dynamical Taxonomy: some taxonomic ranks to systematically classify every chaotic attractor
Christophe Letellier, Nataliya Stankevich, Otto E. Rössler
Characterizing accurately chaotic behaviors is not a trivial problem and must allow to determine the properties that two given chaotic invariant sets share or not. The underlying p…
Observability of dynamical networks from graphic and symbolic approaches
Irene Sendiña-Nadal, Christophe Letellier
A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of meas…
Structural, Dynamical and Symbolic Observability: From Dynamical Systems to Networks
Luis A. Aguirre, Leonardo L. Portes, Christophe Letellier
The concept of observability of linear systems initiated with Kalman in the mid 1950s. Roughly a decade later, the observability of nonlinear systems appeared. By such definitions…
A nonlinear graph-based theory for dynamical network observability
Christophe Letellier, Irene Sendiña-Nadal, Luis A. Aguirre
A faithful description of the state of a complex dynamical network would require, in principle, the measurement of all its variables, an infeasible task for systems with practi…