9 citations · 15 across the 3 of their papers we have counts for
3 papers
nlin.CD2025
A model for dynamical systems with strange attractors
Nicola Romanazzi
We derive a system with one degree of freedom that models a class of dynamical systems with strange attractors in three dimensions. This system retains all the characteristics of c…
nlin.CD2007★ 9 cited
Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom
Nicola Romanazzi, Marc Lefranc, Robert Gilmore
When a low dimensional chaotic attractor is embedded in a three dimensional space its topological properties are embedding-dependent. We show that there are just three topological…
nlin.CD2007★ 6 cited
Global Topology from an Embedding
Robert Gilmore, Christophe Letellier, Nicola Romanazzi
An embedding of chaotic data into a suitable phase space creates a diffeomorphism of the original attractor with the reconstructed attractor. Although diffeomorphic, the original a…