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Found 9 papers, 6 papers with code
Transferability of Graph Neural Networks using Graphon and Sampling Theories
Graph neural networks (GNNs) have become powerful tools for processing graph-based information in various domains.
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization
We present a flexible data-driven method for dynamical system analysis that does not require explicit model discovery.
Deep Learning of Conjugate Mappings
The mapping that iterates the dynamics through consecutive intersections of the flow with the subspace is now referred to as a Poincar\'e map, and it is the primary method available for interpreting and classifying chaotic dynamics.
The speed of traveling waves in a FKPP-Burgers system
Because of the complex dynamics involved in this and similar models, this is one of the first precise results in the literature on the effect of the coupling on the traveling wave solution.
Analysis of PDEs Dynamical Systems
Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization
For scalar reaction-diffusion equations, we present a general method and then apply it to examples from the literature where minimum wave speeds were unknown.
Dynamical Systems Optimization and Control
Sparse Identification of Slow Timescale Dynamics
We show that for sufficiently disparate timescales this discovered mapping can be used to discover the continuous-time slow dynamics, thus providing a novel tool for extracting dynamics on multiple timescales.
Stable Periodic Solutions to Lambda-Omega Lattice Dynamical Systems
In this manuscript we consider the stability of periodic solutions to Lambda-Omega lattice dynamical systems.
Dynamical Systems
Poincaré Maps for Multiscale Physics Discovery and Nonlinear Floquet Theory
Poincar\'e maps are an integral aspect to our understanding and analysis of nonlinear dynamical systems.
Dynamical Systems Chaotic Dynamics
Novel Substructure and Superfluid Dark Matter
The recent observation of the distribution of accreted stars (SDSS-Gaia DR2) suggests that a non-trivial fraction of dark matter is contained within halo substructure.
Cosmology and Nongalactic Astrophysics Astrophysics of Galaxies General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory
