Bifurcation of Limit Cycles for a Class of Quartic Kolmogorov System
Journal Title: 河南科技大学学报（自然科学版） - Year 2016, Vol 37, Issue 3
Abstract
The bifurcation of limit cycles for a class of quartic Kolmogorov's system was investigated at the positive equilibrium point( 1,1). The first five singular point values of accompanied complex system were calculated by using computer algebra system Mathematica,and the conditions of the positive equilibrium point( 1,1) to be the five degree fine focus were deduced. Finally,five small amplitude limit cycles bifurcating from the positive equilibrium( 1,1) point were proved by Jacobi determinant method.
Authors and Affiliations
Daiqin WU, Wentao HUANG, Yanlan WU
Keywords
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- DOI 10.15926/j.cnki.issn1672-6871.2016.03.018
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