698 citations · 3.8k across the 49 of their papers we have counts for
11 papers · 1 filter
Synchronization in time-varying random networks with vanishing connectivity
Marco Faggian, Francesco Ginelli, Fernando Rosas +1
A sufficiently connected topology linking the constituent units of a complex system is usually seen as a prerequisite for the emergence of collective phenomena such as synchronizat…
Lyapunov analysis of multiscale dynamics: The slow bundle of the two-scale Lorenz 96 model
Mallory Carlu, Francesco Ginelli, Valerio Lucarini +1
We investigate the geometrical structure of instabilities in the two-scales Lorenz 96 model through the prism of Lyapunov analysis. Our detailed study of the full spectrum of covar…
Origin and scaling of chaos in weakly coupled phase oscillators
Mallory Carlu, Francesco Ginelli, Antonio Politi
We discuss the behavior of the largest Lyapunov exponent in the incoherent phase of large ensembles of heterogeneous, globally-coupled, phase oscillators. We show that the scal…
Covariant Lyapunov vectors
Francesco Ginelli, Hugues Chate', Roberto Livi +1
The recent years have witnessed a growing interest for covariant Lyapunov vectors (CLVs) which span local intrinsic directions in the phase space of chaotic systems. Here we review…
Chaos in the Hamiltonian mean field model
Francesco Ginelli, Kazumasa A. Takeuchi, Hugues Chate' +2
We study the dynamical properties of the canonical ordered phase of the Hamiltonian mean-field (HMF) model, in which particles, globally-coupled via pairwise attractive interac…
Hyperbolic decoupling of tangent space and effective dimension of dissipative systems
Kazumasa A. Takeuchi, Hong-liu Yang, Francesco Ginelli +2
We show, using covariant Lyapunov vectors, that the tangent space of spatially-extended dissipative systems is split into two hyperbolically decoupled subspaces: one comprising a f…
Extensive and Sub-Extensive Chaos in Globally-Coupled Dynamical Systems
Kazumasa A. Takeuchi, Hugues Chaté, Francesco Ginelli +2
Using a combination of analytical and numerical techniques, we show that chaos in globally-coupled identical dynamical systems, be they dissipative or Hamiltonian, is both extensiv…
Lyapunov analysis captures the collective dynamics of large chaotic systems
Kazumasa A. Takeuchi, Francesco Ginelli, Hugues Chaté
We show, using generic globally-coupled systems, that the collective dynamics of large chaotic systems is encoded in their Lyapunov spectra: most modes are typically localized on a…
Hyperbolicity and the effective dimension of spatially-extended dissipative systems
Hong-liu Yang, Kazumasa A. Takeuchi, Francesco Ginelli +2
We show, using covariant Lyapunov vectors, that the chaotic solutions of spatially extended dissipative systems evolve within a manifold spanned by a finite number of physical mode…
Characterizing dynamics with covariant Lyapunov vectors
F. Ginelli, P. Poggi, A. Turchi +3
A general method to determine covariant Lyapunov vectors in both discrete- and continuous-time dynamical systems is introduced. This allows to address fundamental questions such as…
From synchronization to Lyapunov exponents and back
Antonio Politi, Francesco Ginelli, Serhiy Yanchuk +1
The goal of this paper is twofold. In the first part we discuss a general approach to determine Lyapunov exponents from ensemble- rather than time-averages. The approach passes thr…