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Periodic and nonperiodic solutions of the difference equation
Conference proceeding

Periodic and nonperiodic solutions of the difference equation

R Abu-Saris and F Allan
ADVANCES IN DIFFERENCE EQUATIONS-BOOK, pp.9-17
01/01/1997

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this research the periodic behaviour of the solution of the difference equation x(n+1) = max{x(n)(2), A}/x(n)x(n-1); x(0), x(1), A is an element of (0, infinity) (1) will be investigated. It will be shown that for A different from unity, the solution is not periodic for all values of x(0), x(1). In fact, it has a chaotic behaviour with strange attractors.

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