Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472327 | Computers & Mathematics with Applications | 2008 | 14 Pages |
Abstract
We characterize the collection of systems of differential equations on C2C2 of the form ẋ=x+p(x,y), ẏ=−3y+q(x,y), where pp and qq are homogeneous polynomials of degree three (either of which may be zero), that possess a first integral in a neighborhood of (0,0)(0,0) of the form x3y+⋯x3y+⋯, where omitted terms are of order at least five. Such systems are called 1:−31:−3 resonant centers.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Zhaoping Hu, Valery G. Romanovski, Douglas S. Shafer,