%0 Journal Article
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%@nexthigherunit 8JMKD3MGPCW/3ET38CH
%@archivingpolicy denypublisher denyfinaldraft12
%@usergroup administrator
%@usergroup vinicius
%3 sinay-algebraic.pdf
%X The behavior of a considerable number of physical phenomena is described by periodic bifurcating solutions of quadratic Ordinary Differential Equations. The purpose of this paper is to present an algorithm consisting of a combination of Power series and Fourier Series (PES) which reduces the problem of solving the differential equations to a recursive sequence of linear algebraic ones. This algorithm is based on two theorems that, with easily verifiable algebraic conditions, ensure the existence of such solutions.
%N 3-4
%T An algebraic procedure for the determination of periodic bifurcating solutions of quadratic ordinary differential equations
%@secondarytype PRE PI
%K non-linear analysis, hydrodynamic instability, laminar flames.
%@visibility shown
%@group LCP-INPE-MCT-BR
%@secondarykey INPE-13864-PRE/9046
%@copyholder SID/SCD
%@issn 0020-7160
%2 sid.inpe.br/mtc-m17@80/2006/07.10.16.57.40
%B International Journal of Computer Mathematics
%P 205-220
%4 sid.inpe.br/mtc-m17@80/2006/07.10.16.57
%@documentstage vinicius
%D 1997
%V 65
%O Também apresentado no World Congress of Nonlinear Analysts, 2., Atenas, Grécia, 10-17 june 1996
%A Sinay, L.,
%@dissemination WEBSCI; PORTALCAPES; COMPENDEX.
%@area COMB