Title of article
Two limit cycles in three-dimensional Lotka-Volterra systems
Author/Authors
Zhengyi Lu، نويسنده , , Yong Luo، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2002
Pages
16
From page
51
To page
66
Abstract
Among the six classes of Zeemanʹs classification for three-dimensional Lotka-Volterra competitive systems with limit cycles, besides the heteroclinic cycle case (Case 27), we construct in three cases without heteroclinic cycle (Cases 26, 28, 29) two limit cycles. Our construction gives a partial answer to Hofbauer and Soʹs problem to these systems.
Keywords
Center manifold , Hopf bifurcation , Limit cycles , Lotka-Volterra systems
Journal title
Computers and Mathematics with Applications
Serial Year
2002
Journal title
Computers and Mathematics with Applications
Record number
919311
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