Publication
Higher-order organization of multivariate time series
Publications associées (33)
Structure and dynamics of liquid water from ab initio simulations: adding Minnesota density functionals to Jacob's ladder
Ursula Röthlisberger, Justin Villard, Martin Peter Bircher
The accurate representation of the structural and dynamical properties of water is essential for simulating the unique behavior of this ubiquitous solvent. Here we assess the current status of describing liquid water using ab initio molecular dynamics, wit ...
Cambridge2024The dynamics of unsteady frictional slip pulses
Thibault Didier Roch, Fabian Barras
Self-healing slip pulses are major spatiotemporal failure modes of frictional systems, featuring a characteristic size L(t) and a propagation velocity c(p)(t) (t is time). Here, we develop a theory of slip pulses in realistic rate- and state-dependent fric ...
Washington2023Invariant tori in dissipative hyperchaos
Tobias Schneider, Jeremy Peter Parker
One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's chaotic attractor. The significance of zero-dimensional unstable fixed points ...
AIP Publishing2022Periodic orbits exhibit oblique stripe patterns in plane Couette flow
Tobias Schneider, Florian Reetz
Spatiotemporally chaotic dynamics of transitional plane Couette flow may give rise to regular turbulent-laminar stripe patterns with a large-scale pattern wavelength and an oblique orientation relative to the laminar flow direction. A recent dynamical syst ...
AMER PHYSICAL SOC2021Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations
When laminar shear flows in large wall-bounded domains transition to turbulence, the flow exhibits spatio-temporally chaotic dynamics. Despite its chaotic dynamics, the flow may self-organize into characteristic spatially periodic patterns of unknown origi ...
EPFL2019How single neuron properties shape chaotic dynamics and signal transmission in random neural networks
Wulfram Gerstner, Tilo Schwalger, Samuel Pavio Muscinelli
While most models of randomly connected neural networks assume single-neuron models with simple dynamics, neurons in the brain exhibit complex intrinsic dynamics over multiple timescales. We analyze how the dynamical properties of single neurons and recurr ...
2019Nonlinear dynamic analysis of D-alpha signals for type I edge localized modes characterization on JET with a carbon wall
Olivier Sauter, Ambrogio Fasoli, Basil Duval, Stefano Coda, Jonathan Graves, Yves Martin, Duccio Testa, Patrick Blanchard, Joan Decker, Cristian Galperti, Henri Weisen, Richard Pitts, Jan Horacek, Javier García Hernández, Marco Wischmeier, Mikhail Maslov, Federico Nespoli, David Pfefferlé, Antonio José Pereira de Figueiredo, Jonathan Marc Philippe Faustin, Liang Yao, Dalziel Joseph Wilson, Andrea Scarabosio, Gilles Arnoux, Bernhard Sieglin, Otto Asunta
In this paper, the dynamic characteristics of type-I ELM time-series from the JET tokamak, the world's largest magnetic confinement plasma physics experiment, have been investigated. The dynamic analysis has been focused on the detection of nonlinear struc ...
2018Dynamical Behavior and Stability Analysis of Hydromechanical Gates
Paolo Perona, Fabian Alexander Bernhard
This study revisits the stability of hydromechanical gates for upstream water surface regulation, also known as AMIL gates. AMIL gates are used in irrigation canals, where they are often installed in series. From the regulation perspective, instabilities a ...
American Society of Civil Engineers2017Identification of a Predator-Prey System from Simulation Data of a Convection Model
The use of low-dimensional dynamical systems as reduced models for plasma dynamics is useful as solving an initial value problem requires much less computational resources than fluid simulations. We utilize a data-driven modeling approach to identify a red ...
American Institute of Physics2017UNTYING THE GRIDLOCKS: CHANGING OUR HERMENEUTICS TO BIFURCATE FOR GOOD
This contribution uses metaphors originated in the Dynamical Systems Theory to describe the potential pathways in the evolution of human societies and how, through the accumulation of tensions at critical points, bifurcations can emerge, for the good or th ...
A World Resources Forum Production, PSI2017