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Volumn 19, Issue 1, 2006, Pages 1-7

A 3D competitive Lotka-Volterra system with three limit cycles: A falsification of a conjecture by Hofbauer and so

Author keywords

Carrying simplex; Competitive; Hopf bifurcation; Limit cycles; Lotka Volterra system

Indexed keywords

NONLINEAR EQUATIONS;

EID: 27644506636     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.01.002     Document Type: Article
Times cited : (51)

References (11)
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  • 2
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    • Multiple limit cycles for three dimensional Lotka-Volterra equations
    • J. Hofbauer, and J.W.-H. So Multiple limit cycles for three dimensional Lotka-Volterra equations Appl. Math. Lett. 7 1994 65 70
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  • 4
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    • M.W. Hirsch Systems of differential equations which are competitive or cooperative III: Competing species Nonlinearity 1 1988 51 71
    • (1988) Nonlinearity , vol.1 , pp. 51-71
    • Hirsch, M.W.1
  • 5
    • 0003270907 scopus 로고
    • Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems
    • Amer. Math. Soc. Providence
    • H.L. Smith Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems Math. Surveys Monogr. vol. 41 1995 Amer. Math. Soc. Providence
    • (1995) Math. Surveys Monogr. , vol.41
    • Smith, H.L.1
  • 6
    • 0037059089 scopus 로고    scopus 로고
    • Uniqueness and attractivity of the carrying simples for the discrete-time competitive dynamical systems
    • Y. Wang, and J. Jiang Uniqueness and attractivity of the carrying simples for the discrete-time competitive dynamical systems J. Differential Equations 186 2002 611 632
    • (2002) J. Differential Equations , vol.186 , pp. 611-632
    • Wang, Y.1    Jiang, J.2
  • 7
    • 0032000798 scopus 로고    scopus 로고
    • Three-dimensional competitive Lotka-Volterra systems with no periodic orbits
    • P. van den Driessche, and M.L. Zeeman Three-dimensional competitive Lotka-Volterra systems with no periodic orbits SIAM J. Appl. Math. 58 1998 227 234
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 227-234
    • Van Den Driessche, P.1    Zeeman, M.L.2
  • 8
    • 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 Comput. Math. Appl. 44 2002 51 66
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    • Lu, Z.1    Luo, Y.2
  • 9
    • 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. Differential Equations 164 2000 1 15
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    • Xiao, D.1    Li, W.2
  • 10
    • 0141639679 scopus 로고    scopus 로고
    • Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle
    • Z. Lu, and Y. Luo Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle Comput. Math. Appl. 46 2003 231 238
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    • Lu, Z.1    Luo, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.