Organizers

prof. dr hab. Henryk Żołądek

Information

Fridays, 10:15 a.m. , room: 5840

Home page

http://www.mimuw.edu.pl/~baranski/dsg/seminar/

Research fields

Ordinary Differential Equations and Dynamical Systems

List of talks

March 29, 2019, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
Qualitative analysis of some libration points in the restricted four body problem
We consider the situation when three heavy gravitational bodies form a Lagrange configuration rotating in a fixed plane and the third body of negligible mass moves in this plane. We present three cases of so-called …
March 22, 2019, 10:15 a.m.
Maciej Borodzik (Uniwersytet Warszawski)
Knots not concordant to L-space knots
March 15, 2019, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
Analytic properties of the normal form for the Bogdanov Takens singularity
Previously a complete formal normal forms for germs of 2-dimensional holomorphic vector fields with nilpotent singularity was obtained. That classification is quite nontrivial (7 cases), but it can be divided into general types like in …
March 8, 2019, 10:15 a.m.
Galina Filipuk (Uniwersytet Warszawski)
Operatory drabinkowe oraz równania różniczkowe dla uogólnionych wielomianów Freuda
March 1, 2019, 10:15 a.m.
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Ustalenie programu na semestr letni
Jan. 25, 2019, 10:15 a.m.
Maciej Borodzik
Rising water principle via Morse theory
Rising water principle gives a handle decomposition of a complement of a submanifold in terms of the handle decomposition of the submanifold. We give a Morse theoretical proof of this fact. This is a joint …
Jan. 18, 2019, 10:15 a.m.
Łukasz Pawelec (Szkoła Główna Handlowa)
Long hitting times for expanding systems
We prove a new result in the area of qualitative recurrence. Currently, there is a lot of papers showing that the recurrence in dynamical systems is often faster than the Birkhoff's Ergodic Theorem and Kac's …
Jan. 11, 2019, 10:15 a.m.
Marcin Bobieński (Uniwersytet Warszawski)
The Dulac map of model slow-fast system
We consider model slow-fast planar system. In this case we want to calculate and compare two analytic tools of investigations Dulac maps: pseudo-Abelian integrals and divergence integral. The second one was introduced and inwestigated by …
Dec. 21, 2018, 10:15 a.m.
Adam Śpiewak (Uniwersytet Warszawski)
A probabilistic Takens theorem
Takens theorem (1981) states that for a $C^2$ manifold $M$ of dimension $d$, the delay map $x \mapsto (h(x), h(Tx),..., h(T^{k-1} x))$ is an embedding for a generic pair of diffeomorphism $T:M \to M$ and …
Dec. 14, 2018, 10:15 a.m.
Waldemar Pałuba (Uniwersytet Warszawski)
Relating the lambda lemma to properties of renormalization operator
We discuss some technical issues concerning the definite, bounded away from 1, speed of repelling along the unstable direction of the Feigenbaum renormalization operator. The introduction is in the real variable; the geometric picture we …
Dec. 7, 2018, 10:15 a.m.
Piotr Mormul (Uniwersytet Warszawski)
Exterior multiplication with singularities in vector bundles
The talk is based on a recent preprint https://arxiv.org/abs/1805.06948 by Bronisław Jakubczyk.
Nov. 30, 2018, 10:15 a.m.
Michał Rams (IM PAN)
Mass transference principle for general shapes
The classical result of Beresnevitch and Velani (Ann of Math 2006) provides a way of estimating from below the Hausdorff dimension of some limsup sets of balls. Together with Henna Koivusalo from Universitat Wien we …
Nov. 23, 2018, 10:15 a.m.
Xavier Jarque (Universitat de Barcelona)
The secant map as a plane dynamical system
We present some results on the rational dynamical system induced by the secant map on the real plane. The secant map is a root finding algorithm which does not use the evaluation of the derivative …
Nov. 9, 2018, 10:15 a.m.
Reza Mohammadpour Bejargafsheh (IM PAN)
Characterization of uniform hyperbolicity for fiber-bunched cocycles
Let $(T;A)$ be a $SL(2;\mathbb{R})$-cocycle defined over a transitive subshift of finite type. We will show that the cocycle $(T;A)$ is uniformly hyperbolic if the cocycle satisfies the fiber-bunching condition, and there is a constant …
Oct. 26, 2018, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
The Weitzenbock theorem about invariants. II
Now I will talk about spliting of some representations of sl(2) into irreducible ones, about the Hermite reciprocity and about applications to the problem of normal forms of germs of holomorphic vector fields.