279 citations · 522 across the 7 of their papers we have counts for
7 papers
Modeling and LQR Control of Insect Sized Flapping Wing Robot
Daksh Dhingra, Kadierdan Kaheman, Sawyer B. Fuller
Flying insects can perform rapid, sophisticated maneuvers like backflips, sharp banked turns, and in-flight collision recovery. To emulate these in aerial robots weighing less than…
Saddle Transport and Chaos in the Double Pendulum
Kadierdan Kaheman, Jason J. Bramburger, J. Nathan Kutz +1
Pendulums are simple mechanical systems that have been studied for centuries and exhibit many aspects of modern dynamical systems theory. In particular, the double pendulum is a pr…
The Experimental Multi-Arm Pendulum on a Cart: A Benchmark System for Chaos, Learning, and Control
Kadierdan Kaheman, Urban Fasel, Jason J. Bramburger +3
The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pen…
PySINDy: A comprehensive Python package for robust sparse system identification
Alan A. Kaptanoglu, Brian M. de Silva, Urban Fasel +9
Automated data-driven modeling, the process of directly discovering the governing equations of a system from data, is increasingly being used across the scientific community. PySIN…
Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics and Extract Noise Probability Distributions from Data
Kadierdan Kaheman, Steven L. Brunton, J. Nathan Kutz
The sparse identification of nonlinear dynamics (SINDy) is a regression framework for the discovery of parsimonious dynamic models and governing equations from time-series data. As…
SINDy-PI: A Robust Algorithm for Parallel Implicit Sparse Identification of Nonlinear Dynamics
Kadierdan Kaheman, J. Nathan Kutz, Steven L. Brunton
Accurately modeling the nonlinear dynamics of a system from measurement data is a challenging yet vital topic. The sparse identification of nonlinear dynamics (SINDy) algorithm is…