8 citations · 12 across the 6 of their papers we have counts for
6 papers
Hamiltonian form for general autonomous ODE systems: Low dimensional examples
Artur Kobus
Paper is devoted to maintaining the simple objective: We want to provide Hamiltonian canonical form for autonomous dynamical system reducible to even-dimensional one. Along the roa…
Computational enhancement of discrete gradient method
Artur Kobus
We propose new numerical approach to non-conservative dynamical systems. Our method being of low order, enhances qualitative performance of standard discrete gradient algorithm, th…
Forced extension of GNI techniques to dissipative systems
Artur Kobus
We propose new concept of energy reservoir and effectively conserved quantity, what enables us to treat dissipative systems along the lines of the framework of Geometric Numerical…
Group interpretation of the spectral parameter. The case of isothermic surfaces
Jan L. Cieśliński, Artur Kobus
It is well known that in some cases the spectral parameter has a group interpretation. We discuss in detail the case of Gauss-Codazzi equations for isothermic surfaces immersed in…
On geometry of the scator space
Artur Kobus, Jan L. Cieśliński
We consider the scator space - a hypercomplex, non-distributive hyperbolic algebra introduced by Fernández-Guasti and Zaldívar. We discuss isometries of the scator space and find c…
Determination of the Riemann modulus and sheet resistivity by a six-point generalization of the van der Pauw method
Krzysztof Szymański, Kamil Łapiński, Jan L. Cieśliński +4
Six point generalization of the van der Pauw method is presented. The method is applicable for two dimensional homogeneous systems with an isolated hole. A single measurement perfo…