Centre and isochronicity conditions for systems with homogeneous nonlinearities
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Inclou dades d'ús des de 2022
Cita com:
hdl:2117/813
Tipus de documentArticle
Data publicació1995
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 2.5 Espanya
Abstract
We study the centre-focus problem for systems with homogeneous
nonlinearities. In the centre case we study the characterization
of the isochronous centres. More explicitly, we derive six necessary
conditions to be a centre and six necessary conditions to be an
isochronous centre. These conditions are expressed in complex notation
and are suitable to be utilized in any computer algebra system. By
using this approach we get the necessary and sufficient conditions
to be a centre or an isochronous centre for a general system with homogeneous
nonlinearities of degree two or three. This last result is already known but
we give a slightly different proof.
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9501guillamon.pdf | 199,2Kb | Visualitza/Obre |