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Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle

✍ Scribed by Zhengyi Lu; Yong Luo

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
553 KB
Volume
46
Category
Article
ISSN
0898-1221

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✦ Synopsis

Three limit cycles are constructed for a threedimensional Lotka-Volterra competitive system with a heteroclmic cycle. This gives a partial answer to a problem proposed by Hofbauer and So in [I].

πŸ“œ SIMILAR VOLUMES

Two limit cycles in three-dimensional Lo
Two limit cycles in three-dimensional Lotka-Volterra systems
✍ Zhengyi Lu; Yong Luo πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 751 KB

Among the six classes of Zeeman's 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 ans