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Volumn 46, Issue 2-3, 2003, Pages 231-238

Three Limit Cycles for a Three-Dimensional Lotka-Volterra Competitive System with a Heteroclinic Cycle

Author keywords

Competitive; Hopf bifurcation; Limit cycles; Lotka Volterra systems

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; POLYNOMIAL APPROXIMATION; THEOREM PROVING;

EID: 0141639679     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90027-7     Document Type: Article
Times cited : (47)

References (10)
  • 1
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    • Hofbauer, J.1    So, J.W.2
  • 2
    • 84956106116 scopus 로고
    • Systems of differential equations which are competitive or cooperative: III. Competing species
    • M.W. Hirsch, Systems of differential equations which are competitive or cooperative: III. Competing species, Nonlinearity 1, 51-71, (1988).
    • (1988) Nonlinearity , vol.1 , pp. 51-71
    • Hirsch, M.W.1
  • 3
    • 0027796995 scopus 로고
    • Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems
    • M.L. Zeeman, Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems, Dynamics and Stability of Systems 8, 189-217, (1993).
    • (1993) Dynamics and Stability of Systems , vol.8 , pp. 189-217
    • Zeeman, M.L.1
  • 4
    • 0032000798 scopus 로고    scopus 로고
    • Three-dimensional Lotka-Volterra systems with no periodic orbits
    • P. van den Driessche and M.L. Zeeman, Three-dimensional Lotka-Volterra systems with no periodic orbits, SIAM J. Appl. Math. 58, 227-234, (1998).
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 227-234
    • Van den Driessche, P.1    Zeeman, M.L.2
  • 5
    • 0002380465 scopus 로고    scopus 로고
    • Limit cycles for the competitive three dimensional Lotka-Volterra system
    • D. Xiao and W. Li, Limit cycles for the competitive three dimensional Lotka-Volterra system, J. Diff. Eqns. 164, 1-15, (2000).
    • (2000) J. Diff. Eqns. , vol.164 , pp. 1-15
    • Xiao, D.1    Li, W.2
  • 6
    • 0036630612 scopus 로고    scopus 로고
    • Two limit cycles in three dimensional Lotka-Volterra systems
    • Z. Lu and Y. Luo, Two limit cycles in three dimensional Lotka-Volterra systems, Computers Math. Applic. 44 (1/2), 51-66, (2002).
    • (2002) Computers Math. Applic. , vol.44 , Issue.1-2 , pp. 51-66
    • Lu, Z.1    Luo, Y.2
  • 9
    • 0005340476 scopus 로고
    • A program for computing the Liapunov functions and Liapunov constants in Scratchpad II
    • D. Wang, A program for computing the Liapunov functions and Liapunov constants in Scratchpad II, ACM SIGSAM Bull, 23, 25-31, (1989).
    • (1989) ACM SIGSAM Bull , vol.23 , pp. 25-31
    • Wang, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.