Zobrazeno 1 - 10
of 103
pro vyhledávání: '"37J99"'
In this paper we consider two-dimensional canonical systems with discrete spectrum and study their eigenvalue densities. We develop a formula that determines the Stieltjes transform of the eigenvalue counting function up to universal multiplicative c
Externí odkaz:
http://arxiv.org/abs/2412.20124
We study singular optimal control problems of port-Hamiltonian systems. We study general control-affine cost functionals that include as a special case the energy supplied to the system. We derive optimality conditions for the case with and without c
Externí odkaz:
http://arxiv.org/abs/2407.03213
Autor:
Offen, Christian
The article introduces a method to learn dynamical systems that are governed by Euler--Lagrange equations from data. The method is based on Gaussian process regression and identifies continuous or discrete Lagrangians and is, therefore, structure pre
Externí odkaz:
http://arxiv.org/abs/2404.19626
We extend to higher dimensions the notion of Birkhoff attractor of a dissipative map. We prove that this notion coincides with the classical Birkhoff attractor. We prove that for the dissipative system associated to the discounted Hamilton-Jacobi equ
Externí odkaz:
http://arxiv.org/abs/2404.00804
Autor:
Jaud, Daniel, Zhao, Lei
We study the geometry of reflection of a massive point-like particle at conic section boundaries. Thereby the particle is subjected to a central force associated with either a Kepler or Hooke potential. The conic section is assumed to have a focus at
Externí odkaz:
http://arxiv.org/abs/2312.05542
Autor:
Simon, Sergi
The question of how Algebra can be used to solve dynamical systems and characterize chaos was first posed in a fertile mathematical context by Ziglin, Morales, Ramis and Sim\'o using differential Galois theory. Their study was aimed at first-order, l
Externí odkaz:
http://arxiv.org/abs/2309.04449
The solutions of an indeterminate Hamburger moment problem can be parameterised using the Nevanlinna matrix of the problem. The entries of this matrix are entire functions of minimal exponential type, and any growth less than that can occur. An indet
Externí odkaz:
http://arxiv.org/abs/2307.10748
Identifying the underlying dynamics of physical systems can be challenging when only provided with observational data. In this work, we consider systems that can be modelled as first-order ordinary differential equations. By assuming a certain pseudo
Externí odkaz:
http://arxiv.org/abs/2305.06920
We analyze the functional equation $$F(x+F(x))=-F(x)$$ and reveal its relationship with a system of partial differential equations arising as the hydrodynamic limit of a system of pinned billiard balls on the line. The system of balls must freeze at
Externí odkaz:
http://arxiv.org/abs/2205.03141
Autor:
Pruckner, Raphael, Woracek, Harald
We investigate the spectrum of 2-dimensional canonical systems in the limit circle case. It is discrete and, by the Krein-de Branges formula, cannot be more dense than the integers. But in many cases it will be more sparse. The spectrum of a particul
Externí odkaz:
http://arxiv.org/abs/2202.13984