PiotrFest 2024

June 24 - 28, 2024, Kraków, Poland

Schedule of PiotrFest Conference

Monday - 24 June 2024

9:00 - 9:30 Registration (main hall)
9:30 - 10:30 Jordi-Lluís Figueras [SLIDES]
A modified parameterization method for invariant Lagrangian tori for Hamiltonian systems
10:30 - 11:00 Coffee break
11:00 - 12:00 Hinke Osinga
Isochron geometry and its influence on phase resets for higher-dimensional oscillators
12:00 - 13:00 Bernd Krauskopf
To blend or not to blend?
13:00 - 14:00 Lunch
14:00 - 15:00 Warwick Tucker
Lower bounds on the Hausdorff dimensions of Julia sets
15:00 - 16:00 Dmitry Turaev
Dynamical systems with bounded noise and contactomorphisms of the unit bundle
16:00 - 16:30 Coffee break
16:30 - 17:00 Patricia Sanchez-Martin
Modelling the Large Magellanic Cloud from a single snapshot
17:00 - 17:20 Marisa Cantarino
Blenders on derived-from-Anosov maps of the 3-torus
17:20 - 17:40 Juan Miranda
Validated numerical computation of convolutions in the Borel plane
17:40 - 18:00 Eran Igra
Knots and chaos in the Rössler system
18:00 - 20:00 Reception

Tuesday - 25 June 2024

9:00 - 9:30 Jonathan Jaquette Spectral Stability via the Maslov Index and Computer Assisted Proofs
9:30 - 10:30 Zbigniew Galias
Rigorous numerical study of periodic windows for the Rössler system
10:30 - 11:00 Coffee break
11:00 - 12:00 Jan Bouwe van den Berg
Forcing results for travelling waves in a cylinder through CAPs for equilibria
12:00 - 13:00 Vadim Kaloshin
Lyapunov spectral rigidity of expanding circle maps
14:00 - 15:00 Konstantin Mischaikow
Global Dynamics of Ordinary Differential Equations: Wall Labelings, Conley Complexes, and Ramp Systems
15:00 - 16:00 Marian Mrozek
A dynamic look at persistent homology: Depth poset of a filtered Lefschetz complex
16:00 - 16:30 Coffee break
16:30 - 17:00 Martin Joan Gimeno
Construction of New Solutions in Functional Perturbed Uniformly Hyperbolic Trajectories
17:00 - 17:20 Dominic Desjardins Côté
From Finite Vector Field Data to Forman’s Combinatorial Dynamical Systems
17:20 - 17:40 Jakub Banaśkiewicz
Periodic Orbits for Chafee-Infante equation
17:40 - 18:00 Gabriel Teixeira Guimarães
Chaotic diffusion in the frequency space: the confined orbit of Atlas

Wednesday - 26 June 2024

9:00 - 9:30 Andrew Clarke
Chaotic Properties of Billiards in Circular Polygons
9:30 - 10:30 Tere Seara
Existence of pseudo-orbits which changes in energy in a near integrable conformally symplectic system through the scattering map
10:30 - 11:00 Coffee break
11:00 - 12:00 Amadeu Delshams
Shadowing of non-transversal heteroclinic chains in lattices
12:00 - 13:00 Piotr Zgliczyński
No infinite spin for partial collisions converging to isolated central configurations on the plane
13:00 - 14:00 Lunch
14:00 - 17:00 Excursion to Wawel Castle

Thusday - 27 June 2024

9:00 - 9:30 Pablo Roldan
Shortest transition time orbits near L1 in the spatial RTBP
9:30 - 10:30 Marcel Guardia
Transfer of energy in Hamiltonian systems on infinite lattices
10:30 - 11:00 Coffee break
11:00 - 12:00 Pau Martin
Homoclinic tangencies of parabolic saddles and Newhouse domains in Celestial Mechanics
12:00 - 13:00 Angel Jorba
On the existence of Trojan motions in the Earth-Moon system
13:00 - 14:00 Lunch
14:00 - 15:00 Alex Haro
Sun-Jupiter-Saturn system may exist: a verified computation of quasiperiodic solutions for the planar three body problem
15:00 - 16:00 Marian Gidea
Hamiltonian instability in the elliptic Hill four-body problem
16:00 - 16:30 Coffee break
16:30 - 17:00 Mar Giralt
Chaotic phenomena to L3 in the Restricted 3-Body Problem
17:00 - 17:20 Luke Peterson
Numerical Evidence of Chaos and Diffusion Around Earth-Moon L4 in the Sun-Earth-Moon System
17:20 - 17:40 Álvaro Fernández-Mora
A-posteriori flow map KAM theorem for partly hyperbolic tori in Hamiltonian systems
17:40 - 18:00 M. Cadiot
Long integrations in Parabolic PDEs using a spectral method
19:00 - Party

Friday - 28 June 2024

10:00 - 10:30 Maxime Breden
Detecting random bifurcations via rigorous enclosures of moment Lyapunov exponents
10:30 - 11:30 Daniel Wilczak
CAPD by examples
11:30 - 12:00 Coffee break
12:00 - 13:00 Jean-Philippe Lessard
Dynamics of delay maps (part I): periodic orbits and their Morse indices
13:00 - 14:00 Lunch
14:00 - 15:00 Jason Mireles-James
Dynamics of Delay Maps II: Stable/unstable manifolds
15:00 - 15:30 Oliver Henot
Dynamics of delay maps (Part III): transverse connecting orbits and chaos
15:30 - 16:00 Małgorzata Moczurad
Are there finitely many central configurations?
16:00 - 16:30 Coffee break & Goodbye