We explore the high-dimensional chaotic dynamics of the Lorenz-96 model by computing
the variation of the fractal dimension with system parameters. The Lorenz-96 model is a …

Using covariant Lyapunov vectors, we reveal a split of the tangent space of standard models
of one-dimensional dissipative spatiotemporal chaos: A finite extensive set of N dynamically …

Using filter-space techniques, we study the scale-to-scale transport of energy in a quasi-two-
dimensional, weakly turbulent fluid flow averaged along the trajectories of fluid elements …

Using large-scale numerical calculations we explore spatiotemporal chaos in Rayleigh-
Bénard convection for experimentally relevant conditions. We calculate the spectrum of …

We explore numerically the high-dimensional spatiotemporal chaos of Rayleigh-Bénard
convection using covariant Lyapunov vectors. We integrate the three-dimensional and time …

The curvature field is measured from tracer-particle trajectories in a two-dimensional fluid
flow that exhibits spatiotemporal chaos and is used to extract the hyperbolic and elliptic …

Using large-scale parallel numerical simulations we explore spatiotemporal chaos in
Rayleigh-Bénard convection in a cylindrical domain with experimentally relevant boundary …

Spatiotemporal chaos collapses to either a rest state or a propagating pulse solution in a
single layer of diffusively coupled, excitable Morris-Lecar neurons. Weak synaptic coupling …

Spatiotemporally chaotic dynamics in laboratory experiments on convection are
characterized using a new dimension, D CH, determined from computational homology …

Spatiotemporal chaos collapses to either a rest state or a propagating pulse solution in a
ring network of diffusively coupled, excitable Morris-Lecar neurons. Weak excitatory …