Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633631 | Applied Mathematics and Computation | 2009 | 9 Pages |
Abstract
In this paper, we investigate a generalized two-dimensional Lotka–Volterra system which has a center. We give an inductive algorithm to compute polynomials of periodic coefficients, find structures of solutions for systems of algebraic equation corresponding to isochronous centers and weak centers of finite order, and derive conditions on parameters under which the considered equilibrium is an isochronous center or a weak center of finite order. We show that with appropriate perturbations at most two critical periods bifurcate from the center.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhaoxia Wang, Xingwu Chen, Weinian Zhang,