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Kuramoto-Sivashinsky Equation
The Kuramoto-Sivashinsky equation is a model for spatiotemporal chaos. The Kuramoto-Sivashinsky equation is expressed as: yt = −yyx − yxx − yxxxx -
Neural Certificates for Safe Control Policies
This paper develops an approach to learn a policy of a dynamical system that is guaranteed to be both provably safe and goal-reaching. -
Lorenz System
The Lorenz system is a well-known nonlinear dynamical system to model convective hydrodynamic flows. The consequence of chaos is that, under certain parameterizations, the... -
Neural Dynamical Systems: Balancing Structure and Flexibility in Physical Pre...
A dataset of synthetic dynamical systems, including the Lorenz system and a generalized cartpole problem, used to evaluate the performance of the Neural Dynamical Systems (NDS)... -
lfads-torch: A modular and extensible implementation of latent factor analysi...
Latent factor analysis via dynamical systems (LFADS) is an RNN-based variational sequential autoencoder that achieves state-of-the-art performance in denoising high-dimensional... -
Unknown Dynamical Systems
The dataset is used to test the proposed generalized residue network (gResNet) framework for learning unknown governing equations from observational data.
