Publications related to Higher-order organization of multivariate time series

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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 ...

Cambridge2024

The 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 ...

Washington2023

Invariant 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 Publishing2022

Periodic 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 SOC2021

How 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 ...

2019

Dynamical 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 Engineers2017

Identification of a Predator-Prey System from Simulation Data of a Convection Model

Jan Sickmann Hesthaven

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 Physics2017

UNTYING 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

Higher-order organization of multivariate time series

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Structure and dynamics of liquid water from ab initio simulations: adding Minnesota density functionals to Jacob's ladder

The dynamics of unsteady frictional slip pulses

Invariant tori in dissipative hyperchaos

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations

How single neuron properties shape chaotic dynamics and signal transmission in random neural networks

Dynamical Behavior and Stability Analysis of Hydromechanical Gates

Identification of a Predator-Prey System from Simulation Data of a Convection Model

UNTYING THE GRIDLOCKS: CHANGING OUR HERMENEUTICS TO BIFURCATE FOR GOOD

Structure and dynamics of liquid water from ab initio simulations: adding Minnesota density functionals to Jacob's ladder

UNTYING THE GRIDLOCKS: CHANGING OUR HERMENEUTICS TO BIFURCATE FOR GOOD

Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations

Dynamical Behavior and Stability Analysis of Hydromechanical Gates

Invariant tori in dissipative hyperchaos

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

How single neuron properties shape chaotic dynamics and signal transmission in random neural networks

Identification of a Predator-Prey System from Simulation Data of a Convection Model

The dynamics of unsteady frictional slip pulses