Dynamical systems and chaos theory provide a rigorous mathematical framework to describe, analyse and predict the evolution of systems over time. These fields study how simple deterministic rules can ...

A dynamical system is a framework used to understand and predict how the behavior of complex systems evolve and change over time. At its core, a dynamical system consists of a finite set of variables, ...

Abstract: Developing autonomous robots capable of learning complex motions from demonstrations remains a fundamental challenge in robotics. On the one hand, movement primitives (MPs) provide a compact ...

Abstract: This article is concerned with the rapid classification issue for dynamical patterns consisting of sampling sequences in a relatively large-scale dynamical dataset constructed by benchmark ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...

This project contains the code for the paper "Modeling Unknown Stochastic Dynamical System via Autoencoder" by Zhongshu Xu, Yuan Chen, Qifan Chen, and Dongbin Xiu. The paper is available as a preprint ...