Publications related to Augmented-SVM: Automatic space partitioning for combining multiple non-linear dynamics

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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 ...

Washington2023

Higher-order organization of multivariate time series

Enrico Amico, Andrea Santoro

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 PORTFOLIO2023

Dynamic Modeling of an Origami Prismatic Joint

Jamie Paik, Mustafa Mete, Jian-Lin Huang

Dynamic modeling of folding joints is critical for predicting dynamic behavior, optimizing design parameters, and developing control strategies for origami robots and machines. Although kinematics of the folded joints exists, little research describes thei ...

IEEE2023

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

Linearization 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

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

Tobias Schneider, Sajjad Azimi, Omid Ashtari

Chaotic dynamics in systems ranging from low-dimensional nonlinear differential equations to high-dimensional spatiotemporal systems including fluid turbulence is supported by nonchaotic, exactly recurring time-periodic solutions of the governing equations ...

2022

Learning dynamical systems with bifurcations

Aude Billard, Farshad Khadivar, Ilaria Lauzana

Trajectory planning through dynamical systems (DS) provides robust control for robots and has found numerous applications from locomotion to manipulation. However, to date, DS for controlling rhythmic patterns are distinct from DS used to control point to ...

2021

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

Topological Linear System Identification via Moderate Deviations Theory

Daniel Kuhn, Wouter Jongeneel, Tobias Sutter

Two dynamical systems are topologically equivalent when their phase-portraits can be morphed into each other by a homeomorphic coordinate transformation on the state space. The induced equivalence classes capture qualitative properties such as stability or ...

2021

Augmented-SVM: Automatic space partitioning for combining multiple non-linear dynamics

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Stability: a search for structure

The dynamics of unsteady frictional slip pulses

Higher-order organization of multivariate time series

Dynamic Modeling of an Origami Prismatic Joint

Invariant tori in dissipative hyperchaos

Linearization and Identification of Multiple-Attractor Dynamical Systems through Laplacian Eigenmaps

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

Learning dynamical systems with bifurcations

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

Topological Linear System Identification via Moderate Deviations Theory

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

Dynamic Modeling of an Origami Prismatic Joint

Stability: a search for structure

Linearization and Identification of Multiple-Attractor Dynamical Systems through Laplacian Eigenmaps

Learning dynamical systems with bifurcations

The dynamics of unsteady frictional slip pulses

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

Invariant tori in dissipative hyperchaos

Higher-order organization of multivariate time series

Topological Linear System Identification via Moderate Deviations Theory