Chaotic behavior of three competing species of May-Leonard model under small periodic perturbations

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 2, 2001, Pages 435-447

  Afraimovich, Valentin S ^a   Hsu, Sze Bi ^b   Lin, Huey Er ^b  

^a INSTITUTO DE INVESTIGACIÓN EN COMUNICACIÓN ÓPTICA   (Mexico)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035609051     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740100216X     Document Type: Article

References (8)

1. Afraimovich, V. S., Bykov, V. V. & Shil'nikov, L. P. [1983] "On structurally unstable attracting limit sets of Lorentz attractor type," Trans. Moscow Math. Soc. 44, 153-216.
2. Afraimovich, V. S., Gavrilov, N. N., Lukyanov, V. I. & Shil'nikov, L. P. [1985] Main Bifurcation of Dynamical Systems (Gorky University Press, Gorky).
3. Afraimovich, V. S. & Hsu, S. B. [1998] Lectures on Chaotic Dynamical Systems (National Tsing-Hua University, Hsinchu, Taiwan).
4. Burns, K. & Weiss, H. [1995] "A geometric criterion for positive topological entropy," Commun. Math. Phys. 192, 95-118.
5. Chi, C. W., Hsu, S. B. & Wu, L. I. [1998] "On the asymmetric May-Leonard model of three competing species," SIAM J. Appl. Math. 58, 211-226.
6. Katok, A. & Hasselblatt, B. [1995] Introduction to the Modern Theory of Dynamical Systems (Cambridge University Press).
7. May, R. M. & Leonard, W. J. [1975] "Nonlinear apects of competition between three species," SIAM J. Appl. Math. 29, 243-253.
8. Waltman, P. [1983] Competition Models in Population Biology (SIAM, PA).