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Št. zadetkov: 5
ǂThe ǂblow-up method applied to monodromic singularities
Brigita Ferčec, Jaume Giné
Izvirni znanstveni članek
Oznake: monodromic singularity;blow-up;center problem;formal first integral;
The blow-up method proves its effectiveness to characterize the integrability of the resonant saddles giving the necessary conditions to have formal integrability and the sufficiency doing the resolution of the associated recurrence differential equation using induction. In this work we apply the bl ...
Leto: 2024 Vir: Fakulteta za energetiko (UM FE)
Qualitative studies of some polynomial systems of ordinary differential equations
Maša Dukarić, Valery Romanovski, Jaume Giné
Doktorska disertacija
Oznake: planar systems of ODEʼs;higher dimensional system of ODEʼs;phase portrait;nilpotent center;limit cylces;Poincaré compactification;center problem;Bautin ideal;focus quantities;time-reversibility;integrability problem;darboux method;linearizability;limit cycle;cyclicity;dissertations;
This doctoral dissertation is devoted to the studies of some qualitative properties of certain polynomial systems of ordinary differential equations. The main problems that are considered in this thesis are the problems of integrability and cyclicity. Some results on the classification of the global ...
Leto: 2016 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Time-reversibility and integrability of p : -q resonant vector fields
Jaume Giné, Valery Romanovski, Joan Torregrosa
Izvirni znanstveni članek
Oznake: planarni sistemi;integrabilnost;časovna reverzibilnost;planar systems of ODEs;time-reversibility;integrability;resonant singularity;
We study the local analytical integrability in a neighborhood of p : −q resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the nonsmooth involution ϕ(x, y) = (yp/q, xq/p). Some generalizations of the theory developed by Sibirsky for t ...
Leto: 2024 Vir: Fakulteta za elektrotehniko, računalništvo in informatiko (UM FERI)
ǂThe ǂ1: -q resonant center problem for certain cubic Lotka-Volterra systems
Xingwu Chen, Jaume Giné, Valery Romanovski, Douglas Shafer
Izvirni znanstveni članek
Oznake: resonant center problem;polynomial systems;differential equations;first integral;
The 1: -q resonant center problem for certain cubic Lotka-Volterra systems
Leto: 2012 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
ǂThe ǂresonant center problem for a 2:-3 resonant cubic Lotka-Volterra system
Jaume Giné, Colin Christopher, Mateja Prešern, Valery Romanovski, Natalie L. Shcheglova
Objavljeni znanstveni prispevek na konferenci
Oznake: matematika;rezonantni problem centra;polinomski sistemi;diferencialne enačbe;prvi integrali;mathematics;resonant center problem;polynomial systems;differential equations;first integrals;
The resonant center problem for a 2:-3 resonant cubic Lotka-Volterra system
Leto: 2012 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Št. zadetkov: 5
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