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Št. zadetkov: 5
Computation of focus quantities of three-dimensional polynomial systems
Valery Romanovski, Douglas Shafer
Izvirni znanstveni članek
Oznake: integrabilnost;fokusne količine;stanje centra;integrability;focus quantities;center conditions;
Fix a collection of polynomial vector fields on $R^3$ with a singularity at the origin, for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue. Some such systems admit a local analytic first integral, which then defines a local center manifold of the ...
Leto: 2014 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Integrability and local bifurcations in polynomial systems of ordinary differential equations
Brigita Ferčec, Valery Romanovski, Douglas Shafer
Doktorska disertacija
Oznake: system of ODEʼs;integrability;center problem;time-reversibility;Darboux integral;linearizability;center variety;focus quantity;limit cycle;cyclicity problem;bifurkations of critical periods;period function;isochronicity;mathematics;dissertations;
V tej doktorski disertaciji obravnavamo naslednje probleme kvalitativne teorije navadnih diferencialnih enačb (NDE): problem centra in fokusa, problem cikličnosti, problem izohronosti in problem bifurkacij kritičnih period. V prvem poglavju vpeljemo nekaj glavnih pojmov kvalitativne teorije NDE in o ...
Leto: 2013 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Stability and periodic oscillations in the Moon-Rand systems
Adam Mahdi, Valery Romanovski, Douglas Shafer
Izvirni znanstveni članek
Oznake: matematika;cikličnost;integrabilnost;stabilnost;mathematics;cyclicity;integrability;stability;
The Moon-Rand systems, developed to model control of flexible space structures, are systems of differential equations on ▫$\RR^3$▫ with polynomial or rational right hand sides that have an isolated singularity at the origin at which the linear part has one negative and one pair of purely imaginary e ...
Leto: 2013 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
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 ǂcenter problem on a center manifold in [R] [sup] 3
Victor F. Edneral, Adam Mahdi, Valery Romanovski, Douglas Shafer
Izvirni znanstveni članek
Oznake: matematika;integrabilnost;vektorji;mathematics;integrability;vectors;
Fix a collection of polynomial vector fields on ▫$\RR^3$▫ with a singularity at the origin, for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue. We show that for each fixed value of the non-zero real eigenvalue the set of such systems having a cent ...
Leto: 2012 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Št. zadetkov: 5
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