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Discovery of Dynamics via Deep Learning
The dataset used in the paper is a collection of time series data from a dynamical system, which is used to test the performance of the network-based LMMs for discovering... -
Kuramoto-Sivashinsky Equation
The Kuramoto-Sivashinsky equation is a model for spatiotemporal chaos. The Kuramoto-Sivashinsky equation is expressed as: yt = −yyx − yxx − yxxxx -
State Space Representations of Deep Neural Networks
This paper deals with neural networks as dynamical systems governed by finite difference equations. It shows that the introduction of k-many skip connections into network... -
Damped Harmonic Oscillator with Displacement-Dependent Damping and Restoring ...
The dataset consists of a damped harmonic oscillator with a displacement-dependent damping and restoring force, where the governing equation is given by¨y = −c1 ˙y − k1 y + 0.1t... -
Damped Harmonic Oscillator with Time-Dependent Forcing
The dataset consists of a damped harmonic oscillator with a time-dependent forcing function, where the governing equation is given by m¨y = −c ˙y − ky + F(t). -
Reaction-Diffusion PDE
The dataset used in this paper is a 1-dimensional reaction-diffusion equation. -
Reaction-Diffusion PDE and Van der Pol Oscillator
The dataset used in this paper is a 2-dimensional reaction-diffusion equation, and a 2-dimensional Van der Pol oscillator. -
Lorenz-63 System
The dataset used in this paper is a collection of time series data from various dynamical systems, including the harmonic oscillator, Duffing system, Van der Pol oscillator, and... -
Harmonic Oscillator, Duffing System, Van der Pol Oscillator, Lorenz-63 System
The dataset used in this paper is a collection of time series data from various dynamical systems, including the harmonic oscillator, Duffing system, Van der Pol oscillator, and... -
UCI Regression Datasets
The dataset used in the paper is the UCI Regression Datasets, which are a standard benchmark for evaluating conditional density estimators. -
Leibniz University Hannover
Imported
Nonlinear moving horizon estimation for robust state and parameter estimation
This dataset contains the simulation code of the numerical example in the paper Nonlinear moving horizon estimation for robust state and parameter estimation. The provided...