20.500.12556/RUL-134490 Real forms of the complex Neumann system a method for finding real roots of polynomial Us([lambda]) The topology of Arnold-Liouville level sets of the real forms of the complex generic Neumann system depends indirectly on the positions of the roots of the special polynomial Us ([lambda]). For certain polynomials, the existence and positions of the real roots, according to the suitable parameters of the system, is not obvious. In the paper, a method for checking the existence and positions of the real roots of the polynomials Us ([lambda]) is given. The method and algorithm are based on searching of a positive solution of a system of linear equations. In case [eta]=2 , we provide a complete solution to the problem of existence of real roots for all special polynomials and determine the topology of the Arnold-Liouville level sets. roots of a polynomial complex Neumann system Arnold-Liouville level sets positive solution system of linear equations ničle polinoma kompleksen Neumannov sistem Arnold-Liouvilleove nivojske množice pozitivna rešitev sistem linearnih enačb true false true Angleški jezik Slovenski jezik Članek v reviji 2022-01-18 13:13:34 2022-01-18 13:13:40 2022-09-13 03:55:29 0000-00-00 00:00:00 2021 0 0 13 str. Vol. 390, art. 113362 Jul. 2021 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2023-01-30 512.6(045) 0377-0427 10.1016/j.cam.2020.113362 45201667 RAZ_Novak_Tina_2021.pdf RAZ_Novak_Tina_2021.pdf 1 EDDD384D5083C2B0F31E9579D8D68307 2a5e6caad862dcd3b4624ee0f35b878e983bc641509769d3413f8cbbaa920a97 bec8cc99-7858-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=152990 https://www.sciencedirect.com/science/article/pii/S0377042720306531 1 e17812a6-7857-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=152988 Fakulteta za strojništvo 0 0 0