Open AccessLimit Cycle for the Brusselator by He's Variational Method
Author(s) -
Juan Zhang
Publication year - 2007
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2007/85145
Subject(s) - brusselator , limit (mathematics) , nonlinear system , limit cycle , domain (mathematical analysis) , mathematics , mathematical analysis , physics , quantum mechanics
He's variational method for finding limit cycles is applied to the Brusselator. The technique developed in this paper is similar to Kantorovitch's method in variational theory. The present theory can be applied not only to weakly nonlinear equations, but also to strongly ones, and the obtained results are valid for the whole solution domain
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