Paper 14090-35
Paper 14090-35
Response of pulsing oscillators to any abrupt and possibly strong perturbations
14 April 2026 • 11:40 - 12:00 CEST | Leicester/Salon 12 (Niveau/Level 1)
Abstract
Pulsing laser systems of different type produce periodic trains of short pulses, which are finding increasing applications across multiple areas of technology. For example, they form the basis of optical frequency combs, which enable precision time and frequency measurements with accuracies surpassing the best atomic clocks. However, what happens to the response of a pulsing laser when it experiences discrete and strong perturbations, such as sudden power fluctuations? We consider a system of two coupled Van der Pol oscillators as a prototypical case study and investigate the geometric mechanisms that control its response to increasingly stronger perturbations. We explain how the response depends on the phase in the pulse train at which such perturbations are applied.
Presenter
Hinke M. Osinga
The Univ. of Auckland (New Zealand)
Hinke Osinga is Professor of Applied Mathematics at the University of Auckland, New Zealand. Her research focuses on dynamical systems theory and the development and application of numerical methods for computing invariant manifolds. Her publications, illustrations, animations and outreach activities have made her famous worldwide in the mathematics and arts communities. She received the 2016 Research Award of the New Zealand Mathematical Society and is a Fellow of the Royal Society of New Zealand, Fellow of the New Zealand Mathematical Society, and Fellow of the Society for Industrial and Applied Mathematics. She obtained her PhD from the University of Groningen, the Netherlands, and has held previous positions at the Universities of Bristol and Exeter in the UK, and Cornell University, California Institute of Technology and the Geometry Center in the USA.