Barcelona Dynamical Systems

Seminar Day - UB-UPC DSG

📅 When: 16:00, february 11th

📍 Where: Aula 004, FME-UPC.

🧑‍ Who:: Alejandro Cabrera (UPC)

📔Title: Relating dynamical systems and certain singular spaces

Abstract: The aim of this talk is to give an overview of joint work with M. del Hoyo and E. Pujals (2020) in […]

Seminar Day - UB-UPC DSG

📅 When: 16:00, December 17th

📍 Where: Aula T2 (2n pis), Facultat de Matemàtiques i Informàtica, UB.

🧑‍ Who:: Domènec Ruiz i Balet
UB

📔Title: Connections between dynamical systems, deep learning and large language models

Abstract: This introductory talk aims to […]

Seminar Day - UB-UPC DSG

📅 When: 16:00, December 10th

📍 Where: Aula T2 (2n pis), Facultat de Matemàtiques i Informàtica, UB.

🧑‍ Who: Illya Koval (IST Austria)

📔Title: Fractal-like meanders appear in KAM theory

Abstract:
In KAM theory, a certain nondegeneracy of the Hessian of the […]

Seminar Day - UB-UPC DSG

📅 When: 16:00, December 3

📍 Where: Aula T2 (2n pis), Facultat de Matemàtiques i Informàtica, UB.

🧑‍ Who: Frank Trujillo (CRM)

📔Title: Hausdorff Dimension of Invariant Measures of AIETs

Abstract:
In this talk, we will discuss the Hausdorff dimension of invariant […]

On equilateral central configurations in the \\(1+4\\) -body problem now in Communications in Nonlinear Science and Numerical Simulation from our colleagues E. Barrabés and J.M. Cors and their collaborators M. Álvarez-Ramírez.

Check it out here to learn more […]

Seminar Day - UB-UPC DSG

📅 When: 16:00, November 26th

📍 Where: Aula S04, FME-UPC.

🧑‍ Who: Anna Gierzkiewicz (Jagiellonian University)

📔Title: Detecting oscillating orbits in the Sitnikov 3BP by computer assistance

Abstract:
In a joint work with M. Capi\'nski and P. Mart\'in, we prove
the […]

Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians now in Mathematics and computers in simulation from our colleagues V. Mañosa and C. Pantazi.

Check it out here to learn more:https://www.sciencedirect.com/science/article/pii/S0378475425001855

Capturing the short-term characteristics of a barred galaxy from a single snapshot now in Communications in nonlinear science and numerical simulation from our colleagues P. Sánchez and J. Masdemont and their collaborators .

Check it out here to learn more […]

Seminar Day - UB-UPC DSG - Double Session

📅 When: 17:15, November 12th.
📍 Where: Aula S03, FME-UPC.

🧑‍ Who: Sergi Burniol Clotet (Universidad de la República, Uruguai)

📔Title: Rigidity of the Unstable Foliation

Abstract: Anosov flows are one of the central examples of hyperbolic and chaotic […]

Seminar Day - UB-UPC DSG - Double Session

📅 When: 16:00, November 12th.
📍 Where: Aula S03, FME-UPC.

🧑‍ Who: Guowei Yu (Nankai University)
📔Title: (Bi)-hyperbolic and (bi)-parabolic motions in the restricted (N+1)-body problem

Abstract: According to Chazy, the final motion of the restricted […]

Capturing the short-term characteristics of a barred galaxy from a single snapshot now in Communications in nonlinear science and numerical simulation from our colleagues P. Sánchez and J. Masdemont and their collaborators .

Check it out here to learn more […]

Temporary capture about the Moon involving Sun?Earth libration point dynamics now in Communications in nonlinear science and numerical simulation from our colleagues J.J. Masdemont and his collaborators B. Pang and D. Qiao.

Check it out here to learn more […]

Great 8th Barcelona Dynamic Systems Day! Key highlights:
🧠 "Clar que sí. Hi ha sistemes dinàmics dins la nostra ment" by Catalina Vich.
🪐 "Sobre l'estabilitat d'un sistema planetari Sol-Júpiter-Saturn" by Alex Haro.
🏆 Barcelona Dynamical Systems Prize: "Benjamin-Feir instability of Stokes waves" […]

Weakly asymptotically quasiperiodic solutions for time-dependent Hamiltonians with a view to celestial mechanics now in Journal of differential equations from our colleagues D. Scarcella.

Check it out here to learn more:https://www.sciencedirect.com/science/article/abs/pii/S0022039625001883

Generic Global Diffusion for Analytic a Priori Unstable Systems - Communications in Mathematical Physics We show that given a general a priori unstable Hamiltonian $$\begin{aligned} \frac{1}{2} p^2 + V(q) + G(I) + \epsilon h(p, q, I, \varphi , t), \end{aligned}$$ 1 2 p 2 + V ( q ) + G ( I ) + ϵ h ( p , q , I , φ , t ) , where h is a generic Mañé analytic function and $$\epsilon $$ ϵ is small enough, there is an orbit for which the momentum I changes by any arbitrarily prescribed value. We call this phenomenon as global diffusion since the size of the change in I is independent of both $$\epsilon $$ ϵ and h. The fact that the pendulum and rotor variables are uncoupled is used essentially in our proof. The proof is based on simple and constructive geometrical methods, carefully studying the reduced Poincaré functions of the problem which generate the corresponding scattering maps.

Generic global diffusion for analytic a priori unstable systems now in Communications in mathematical physics from our colleagues A. Delshams and his collaborators K. Zhang.

Check it out here to learn more:https://link.springer.com/article/10.1007/s00220-025-05342-1

Seminar Day - UB-UPC DSG

📅 When: 16:00, October 15th

📍 Where: Aula S04, FME, UPC

🧑‍ Who: : Otto Vaughn Osterman
University of Maryland

📔Title: Length Spectrum Rigidity in Dispersing Billiard Systems

Abstract: The problem of spectral rigidity in dispersing billiard systems is that of […]

On March we missed some more papers:

Firing rate distributions in plastic networks of spiking neurons now in Network neuroscience from our colleagues M. Vegué and her collaborators A. Allard and P. Desrosiers.

Check it out here to learn more […]

Picture of Jezabel Curbelo in her office

We are glad to share that our colleague Jezabel Curbelo has won the price "Premi Nacional d'Investigació".

Abstract: Volume-preserving flows on 3-manifolds arise naturally in fluid dynamics and plasma physics, where the vorticity or magnetic field
is transported by the motion of the fluid. A central role is played by the helicity, a classical invariant introduced by Woltjer and Moffatt that measures […]

A new update of some publications that we missed in January.

Admitted when breastfeeding: impact and experiences of hospital care now in Breastfeeding medicine from our colleagues J. Puig and his collaborators A. Llupia, A. Lladó and L. Aguilar.

Check it out here to learn more […]

On a Countable Sequence of Homoclinic Orbits Arising Near a Saddle–Center Point, now in Communications in Mathematical Physics from our colleague I. Baldomá and his collaborators M. Guardia and D. E. Pelinovsky.

Check it out here to learn more […]

Seminar Day - UB-UPC DSG

📍 Where: Aula S04, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.

📅 When: 16:00, 17th September

🧑‍🏫 Who: Przemysław Berk, Nikolaus Copernicus University in Toruń, Poland

📔 Title: Disjointness of rescalings of surface flows.

Abstract: We consider […]

To prove some conjectures worth 1 million dollars, others just 10 martinis. You can read the history of the ten martini’s conjecture in this nice article in QuantaMagazine. Our colleague @joaquimpuig took an important role in this history.

Check it out here […]

Our Colleague J.J. Masdemont will share his knowledge on libration points in the Breakwell Lecture in the Astrodynamics Symposium of the International Astronautical Congress held in Sidney from September 29th to October 3rd.

Title: Libration point orbits: a brief journey through fundamental […]

Some of our papers published last year that we missed:

On the boundedness of solutions of a forced discontinuous oscillator now in Journal of differential equations from our colleagues T. Martínez-Seara and J. Villanueva and their collaborators L. Ferreira.

Check it out here to learn more […]

I was very happy to read the nice piece on the Ten Martini Problem at Quanta Magazine! It is a beautiful story of collaboration and common knowledge around the globe. I am honored to share it with so many people that I deeply admire […]

Summer mode de-activated!
🔋 Our Batteries are full-powered! 🔋

We start this new course with a research day on non-linear dynamics and turbulent flows.

RESEARCH DAY: NONLINEAR DYNAMICS AND FLUIDS
Date: Wednesday, September 3
Location: Room S04, FME-UPC

Program:

10:00 – 11:00 — Seminar: Jacopo […]

Summer mode activated! 🌞

While our minds never stop working on research, this account will be taking a break in August.

We’ll be back with more updates in September. Enjoy the summer!

Summer mode activated! 🌞

While our minds never stop working on research, this account will be taking a break in August.

We’ll be back with more updates in September. Enjoy the summer!

Victor Mañosa presenting the research group

Last Thursday July 17th our colleague Victor Mañosa presented our Research group at the Research Day of the Math Department at the Universitat Politècnica de Catalunya!

We keep doing research!

#dynamical_systems #MathResearch #TeamWorking