368 citations · 2.5k across the 46 of their papers we have counts for
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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…