Speakers
Jan Bouwe van den Berg
Jan Bouwe van den Berg
VU University Amsterdam
Netherlands
VU University Amsterdam
Netherlands
5 lectures plus discussion on:
Periodic solutions in differential equations, Newton-Kantorovich in infinite dimensions, Banach algebras of sequences with exponential decay, analyticity, Fourier series and connection to Taylor/Chebyshev series, finite-dimensional projection and numerics.
Dimitri Breda
Dimitri Breda
CDLab, University of Udine
Italy
CDLab, University of Udine
Italy
Introduction plus 4 lectures on:
Well-posedness, representation of delay equations and infinite-dimensional dynamical systems; semigroup theory, spectral analysis; equilibria, periodic orbits, chaos; bifurcation analysis; pseudospectral methods, examples from engineering, population dynamics.
Maxime Breden
Maxime Breden
École Polytechnique, Paris-Saclay
France
École Polytechnique, Paris-Saclay
France
5 lectures plus discussion on:
Computer-assisted proofs in finite dimensions, interval arithmetic, Newton-Kantorovich theorem, periodic orbits and chaos in discrete dynamical systems, rigorous enclosure of eigenvalues, extensions to PDEs: approximation theory and compactness estimates.
Olivier Hénot
Olivier Hénot
National Taiwan University
Taiwan
National Taiwan University
Taiwan
5 lectures plus discussion on:
Introduction to Julia programming, the libraries IntervalArithmetic.jl (for interval arithmetic), and RadiiPolynomial.jl (handles Fourier, Taylor and Chebyshev bases, convolution, differential, and integral operators), examples, connecting orbits and chaos.
Jean-Philippe Lessard
Jean-Philippe Lessard
McGill University, Montreal
Canada
McGill University, Montreal
Canada
5 lectures plus discussion on:
Initial value problems in delay equations, explicitely and implicitly defined step map, discretization via Chebyshev series, discrete smoothing, infinite-dimensional compact discrete dynamical systems, dynamics, boundary value problems, connecting orbits.
Jason D. Mireles James
Jason D. Mireles James
Florida Atlantic University
United States
Florida Atlantic University
United States
5 lectures plus discussion on:
Parameterization method for un/stable manifolds of fixed points and periodic orbits of maps and ODEs, stability of equilibria in DDEs, Morse indices, parameterization method for unstable manifolds in DDEs, graph transform approach for stable manifolds in DDEs.