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Št. zadetkov: 3
Center conditions and cyclicity for a family of cubic systems
Brigita Ferčec, Adam Mahdi
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Oznake: matematika;cikličnost;limitni cikli;računalniška algebra;mathematics;cyclicity;limit cycles;computer algebra system;
Using methods of computational algebra we obtain an upper bound for the cyclicity of a family of cubic systems. To that end we overcome the problem of nonradicality of the associated Bautin ideal by moving from the ring of polynomials to a coordinate ring. Finally, we also determine the number of li ...
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
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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 ǂcenter problem on a center manifold in [R] [sup] 3
Victor F. Edneral, Adam Mahdi, Valery Romanovski, Douglas Shafer
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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: 3
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