368 citations · 2.5k across the 46 of their papers we have counts for
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Initial perturbation matters: implications of geometry-dependent universal Kardar-Parisi-Zhang statistics for spatiotemporal chaos
Yohsuke T. Fukai, Kazumasa A. Takeuchi
Infinitesimal perturbations in various systems showing spatiotemporal chaos (STC) evolve following the power laws of the Kardar-Parisi-Zhang (KPZ) universality class. While univers…
Measuring Lyapunov exponents of large chaotic systems with global coupling by time series analysis
Taro P. Shimizu, Kazumasa A. Takeuchi
Despite the prominent importance of the Lyapunov exponents for characterizing chaos, it still remains a challenge to measure them for large experimental systems, mainly because of…
Estimating dimension of inertial manifold from unstable periodic orbits
X. Ding, H. Chaté, P. Cvitanović +2
We provide numerical evidence that a finite-dimensional inertial manifold on which the dynamics of a chaotic dissipative dynamical system lives can be constructed solely from the k…
Collective Lyapunov modes
Kazumasa A. Takeuchi, Hugues Chaté
We show, using covariant Lyapunov vectors in addition to standard Lyapunov analysis, that there exists a set of collective Lyapunov modes in large chaotic systems exhibiting collec…
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…