Two limit cycles in three-dimensional Lotka-Volterra systems

Computers and Mathematics with Applications

Volumn 44, Issue 1-2, 2002, Pages 51-66

  Lu, Zhengyi ^a   Luo, Yong ^b  

^a WENZHOU UNIVERSITY   (China)

^b SICHUAN UNIVERSITY   (China)

Author keywords

Center manifold; Hopf bifurcation; Limit cycles; Lotka Volterra systems

Indexed keywords

EQUIVALENCE CLASSES; HAMILTONIANS; PROBLEM SOLVING; THREE DIMENSIONAL; TIME DOMAIN ANALYSIS;

HETEROCLINIC CYCLE; HOPF BIFURCATION; THREE DIMENSIONAL LOTKAA-VOLTERRA SYSTEMS; TWO LIMIT CYCLES; ZEEMAN CLASSIFICATION;

BIFURCATION (MATHEMATICS);

EID: 0036630612     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(02)00129-3     Document Type: Article

References (13)

1. Asymptotic behaviour in the dynamics of competing species
2. On the occurrence of limit cycles in the Volterra-Lotka equation
3. Systems of differential equations which are competitive or cooperative: III. Competing species
4. Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems
5. Three-dimensional Lotka-Volterra systems with no periodic orbits
6. Multiple limit cycles for three-dimensional Lotka-Volterra equations
7. Limit cycles for the competitive three dimensional Lotka-Volterra system
8. A program for computing the Liapunov functions and Liapunov constants in Scratchpad II
9. An algorithm of real root isolation for polynomial systems