Naslov
The box dimension of a class of degenerate foci

Autori
Vlah, Domagoj

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Equadiff 2017 Book of Abstracts / Medl'a, Matej ; Struk, Peter - Bratislava : SPEKTRUM STU, 2017, 407-407

ISBN
978-80-227-4710-3

Skup
Equadiff 2017

Mjesto i datum
Bratislava, Slovačka, 24.07.2017. - 28.07.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
box dimension ; spiral ; weak focus ; degenerate focus

Sažetak
We study a class of polynomial planar systems with singularity of focus type without characteristic directions. A simple and natural transformation of a weak focus has been used to obtain such degenerate focus. We compute the box dimension of a spiral trajectory and show the connection to cyclicity, of the system $$ \begin{;array};{;ccl}; \dot x&=&-y^{;2n-1};\pm x^n y^{;n-1}; (x^{;2n};+y^{;2n};)^k\\ \dot y&=&\phantom{;-};x^{;2n-1};\pm x^{;n-1}; y^n (x^{;2n};+y^{;2n};)^k, \end{;array}; $$ under a perturbation, where $k, n\in\mathbb{;N};$. This is a joint work with Darko \v Zubrini\'c and Vesna \v Zupanovi\'c.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA