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DynamIC Seminars
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Name
Title
Date
Time
Room
Vincent Goverse (Imperial College London)
TBA
Abstract:
TBA
Tuesday, 25 February 2025
13:00
Huxley 140
Hugo Chu (Imperial College London)
Rigorous enclosure of Lyapunov exponents of stochastic flows
Abstract:
We develop a powerful and general method to provide arbitrarily accurate rigorous upper and lower bounds for Lyapunov exponents of stochastic flows. Our approach is based on computer-assisted tools, the adjoint method and established results on the ergodicity of diffusion processes. We do not require any structural assumptions on the stochastic system, work under mild hypoellipticity conditions and outside of perturbative regimes. Therefore, our method allows for the treatment of systems that were so far inaccessible from existing mathematical tools. We demonstrate our method to exhibit the chaotic nature of three non-Hamiltonian systems. Finally, we show that our approach is robust to continuation methods to produce bounds on Lyapunov exponents for large parameter regions. This is joint work with Maxime Breden, Jeroen Lamb and Martin Rasmussen.
Tuesday, 11 March 2025
13:00
Huxley 140
DynamIC Workshops and Mini-Courses
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Title
Date
Venue
CHAOS (Homoclinic Bifurcations, Strange Attractors, Arnold Diffusion, Fermi Acceleration, Solitons)
Sunday, 24 September 2023 – Friday, 29 September 2023
Nesin Math Village, Izmir, Turkey
Mini-Workshop on Heterodimensional Dynamics
Wednesday, 2 November 2022
Imperial College London
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