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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 ...
Washington2023Higher-order organization of multivariate time series
Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Several methods have been proposed for the analysis of multivar ...
NATURE PORTFOLIO2023Signatures of a sampling quantum advantage in driven quantum many-body systems
A crucial milestone in the field of quantum simulation and computation is to demonstrate that a quantum device can perform a computation task that is classically intractable. A key question is to identify setups that can achieve such goal within current te ...
IOP Publishing Ltd2023Invariant 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 Publishing2022Linearization and Identification of Multiple-Attractor Dynamical Systems through Laplacian Eigenmaps
Aude Billard, Bernardo Fichera
Dynamical Systems (DS) are fundamental to the modeling and understanding time evolving phenomena, and have application in physics, biology and control. As determining an analytical description of the dynamics is often difficult, data-driven approaches are ...
MICROTOME PUBL2022