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Solutions of period seven for a logistic difference equation*

Published online by Cambridge University Press:  17 April 2009

A. Brown
Affiliation:
Department of Mathematics, Faculty of Science, Australian National University, PO Box 4, Canberra, ACT 2600, Australia.
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Abstract

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Type
Australian Mathematical Societyt Applied Mathematics Conference
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Brown, A., “Equations for periodic solutions of a logistic difference equation”, J. Austral. Math. Soc. Ser. B 23 (1981), 7894.CrossRefGoogle Scholar
[2]Chaundy, T.W. and Phillips, Eric, “The convergence of sequences defined by quadratic recurrence-formulae”, Quart. J. Math. Oxford Ser. 7 (1936), 7480.CrossRefGoogle Scholar
[3]Lorenz, Edward N., “The problem of deducing the climate from the governing equations”, Tellus 16 (1964), 111.CrossRefGoogle Scholar
[4]May, Robert M., “Simple mathematical models with very complicated dynamics”, Nature 261 (1976), 459467.CrossRefGoogle ScholarPubMed
[5]Smith, J. Maynard, Mathematical ideas in biology (Cambridge University Press, Cambridge, 1968).CrossRefGoogle Scholar