Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Klimeš, Martin"'
Autor:
Klimeš, Martin, Stolovitch, Laurent
The aim of this article is twofold: First we study holomorphic germs of parabolic diffeomorphisms of $(\mathbb{C}^2,0)$ that are reversed by a holomorphic reflection and posses an analytic first integral with non-degenerate critical point at the orig
Externí odkaz:
http://arxiv.org/abs/2204.09449
In this paper we study germs of diffeomorphisms in the complex plane. We address the following problem: How to read a diffeomorphism $f$ knowing one of its orbits $\mathbb{A}$? We solve this problem for parabolic germs. This is done by associating to
Externí odkaz:
http://arxiv.org/abs/2112.14324
Autor:
Klimeš, Martin
The work deals with the available options of security devices for basements, design and implementation of its own security equipment. An FPGA chip from Xilinx was used as a device control. The device also contains a GSM module for sending information
Externí odkaz:
http://www.nusl.cz/ntk/nusl-413226
We provide examples of vector fields on $(\mathbb{C}^3, 0)$ admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and M
Externí odkaz:
http://arxiv.org/abs/2110.13072
Autor:
Klimes, Martin, Rousseau, Christiane
In this note we present variants of Kostov's theorem on a versal deformation of a parabolic point of a complex analytic $1$-dimensional vector field. First we provide a self-contained proof of Kostov's theorem, together with a proof that this versal
Externí odkaz:
http://arxiv.org/abs/2002.08444
Autor:
Klimeš, Martin, Rousseau, Christiane
In this paper we introduce geometric tools to study the families of rational vector fields of a given degree over $\mathbb C\mathbb P^1$. To a generic vector field of such a parametric family we associate several geometric objects: a periodgon, a sta
Externí odkaz:
http://arxiv.org/abs/1909.09439
Autor:
Klimes, Martin
The article provides a local classification of singularities of meromorphic second order linear differential equation with respect to analytic/meromorphic linear point transformations. It also addresses the problem of determining the Lie algebra of a
Externí odkaz:
http://arxiv.org/abs/1904.03426
Autor:
Klimes, Martin, Rousseau, Christiane
We describe the equivalence classes of germs of generic $2$-parameter families of complex vector fields $\dot z = \omega_\epsilon(z)$ on $\mathbb{C}$ unfolding a singular parabolic point of multiplicity $k+1$: $\omega_0= z^{k+1} +o(z^{k+1})$. The equ
Externí odkaz:
http://arxiv.org/abs/1710.00883
Autor:
Klimes, Martin
This article studies a confluence of a pair of regular singular points to an irregular one in a generic family of time-dependent Hamiltonian systems in dimension 2. This is a general setting for the understanding of the degeneration of the sixth Pain
Externí odkaz:
http://arxiv.org/abs/1709.09078
Autor:
Klimeš, Martin
The theme of master´s thesis is a new buiding nursery school. The building is set in sloping terrain. The building has two floors. The building is designed from Porotherm and ceiling construction of system Goldbeck. The roof structure are areas.
Externí odkaz:
http://www.nusl.cz/ntk/nusl-226554