Chaos or quasiperiodicity in laboratory insect populations?

Journal of Animal Ecology

Volumn 65, Issue 6, 1996, Pages 847-849

  Rohani, Pejman ^a,c   Miramontes, Octavio ^b  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

INSECTA;

EID: 0030455537     PISSN: 00218790     EISSN: None     Source Type: Journal    
DOI: 10.2307/5682     Document Type: Conference Paper

References (21)

1. Allen, J.C. (1989) Are natural enemy populations chaotic? Estimation and Analysis of Insect Populations (eds L. MacDonald, B. Manly, J. Lockwood & J. Logan), pp. 190-205. Springer-Verlag, Berlin.
2. Caswell, H. & Weeks, D.E (1986) Two-sex models: chaos, extinction, and other dynamic consequences of sex. American Naturalist, 128, 707-735
3. Costantino, R.F., Cushing, J.M., Dennis, B. & Desharnais, R.A. (1995) Experimentally induced transitions in the dynamic behaviour of insect populations. Nature, 375, 227-230.
4. Cushing, J.M. & Li, J (1991) Juvenile vs, adult competition. Journal of Mathematical Biology, 29, 457-473.
5. Dennis, B., Desharnais, R.A., Cushing, J.M. & Costantino, R.F. (1995) Nonlinear demographic dynamics - mathematical models, statistical methods, and biological experiments. Ecological Monographs, 65, 261-281.
6. Eckmann, J.P. (1981) Roads to turbulence in dissipative dynamical systems. Review of Modern Physics, 53, 643-654.
7. Guckenheimer, J., Oster, G.F. & Ipaktchi, A. (1977) The dynamics of density dependent population models. Journal of Mathematical Biology. 4, 101-147.
8. Hastings, A., Hom, C.L., Ellner, S., Turchin, P. & Godfray, H.C.J. (1993) Chaos in ecology: is mother nature a strange attractor? Annual Review of Ecology and Systematic, 24, 1-33.
9. Kaneko, K. (1986) Collapse of Tori and Genesis of Chaos in Dissipatire Systems. World Scientific Publications. Singapore.
10. Kareiva, P. (1995) Predicting and producing chaos. Nature, 375, 189-190.
11. Kot, M. (1992) Discrete-time travelling waves: ecological examples. Journal of Mathematical Biology 30 413-436.
12. Li, T. & Yorke, J.A. (1975) Period three implies chaos. American Mathematical Monthly, 82, 985-992.
13. May, R.M. (1974) Biological populations with non-overlapping generations: stable points, stable cycles, and chaos. Science, 186, 645-647.
14. May, R.M. (1976) Simple mathematical models with very complicated dynamics. Nature, 261, 459-469.
15. May, R.M. & Oster, G.F. (1976) Bifurcations and dynamic complexity in simple ecological models American Naturalist, 110, 573-599.
16. Pascual, M. (1993) Diffusion-induced chaos in a spatial predator-prey system. Proceedings of the Royal Society of London B, 251, 1-7.
17. Rohani, P. & Miramontes, O. (1995) Immigration and the persistence of chaos in population models. Journal of Theoretical Biology, 175, 203-206.
18. Rohani, P , Miramontes, O & Hassell, M.P. (1994) Quasiperiodicity and chaos in population models. Proceedings of the Royal Society of London B, 258, 17-22.
19. Tilman, D. & Wedin, D. (1991) Oscillations and chaos in the dynamics of a perennial grass. Nature, 353, 653-655.
20. Wilson, H.B. & Rand, D.A. (1993) Detecting chaos in a noisy time-series. Proceedings of the Royal Society of London B, 253, 239-244.
21. Wolf, A., Swift, J.B., Swinney, H.L. & Vastano, J.A. (1985) Determining Lyapunov exponents from a time-series. Physica 16D, 285-317.