321 citations · 685 across the 12 of their papers we have counts for
12 papers
Noninvasive Adaptive Control of a Class of Nonlinear Systems With Unknown Parameters
Hamed Rezaee, Ludovic Renson
Control-based continuation (CBC) is a general and systematic method to explore the dynamic response of a physical system and perform bifurcation analysis directly during experiment…
Modelling of physical systems with a Hopf bifurcation using mechanistic models and machine learning
K. H. Lee, D. A. W. Barton, L. Renson
We propose a new hybrid modelling approach that combines a mechanistic model with a machine-learnt model to predict the limit cycle oscillations of physical systems with a Hopf bif…
Numerical methods for control-based continuation of relaxation oscillations
Mark Blyth, Krasimira Tsaneva-Atanasova, Lucia Marucci +1
Control-based continuation (CBC) is an experimental method that can reveal stable and unstable dynamics of physical systems. It extends the path-following principles of numerical c…
Reduced-order modelling of flutter oscillations using normal forms and scientific machine learning
K. H. Lee, D. A. W. Barton, L. Renson
This paper introduces a machine learning approach to take a nonlinear differential-equation model that exhibits qualitative agreement with a physical experiment over a range of par…
Tutorial of numerical continuation and bifurcation theory for systems and synthetic biology
Mark Blyth, Ludovic Renson, Lucia Marucci
Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of…
Numerical Continuation in Nonlinear Experiments using Local Gaussian Process Regression
L. Renson, J. Sieber, D. A. W. Barton +2
Control-based continuation (CBC) is a general and systematic method to probe the dynamics of nonlinear experiments. In this paper, CBC is combined with a novel continuation algorit…