Local bifurcations of critical periods in a generalized 2D LV system |
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Authors: | Zhaoxia Wang Weinian Zhang |
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Institution: | Department of Mathematics, Sichuan University Chengdu, Sichuan 610064, PR China |
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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. |
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Keywords: | Generalized 2D LV system Weak center Critical period bifurcation Symbolic computation |
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