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Analytical solutions of one-dimensional discrete dynamical systems with chaotic behaviour

Authors:

F Oliveira-Pinto M Adibpour

Institution:

1. Department of Mathematics, King's College, University of London, WC2R 2LS, London, England

Abstract:

This paper studies exact analytical solutions in closed form of the difference equation

$y_{n - 1} = a_k y_n^k + a_{k - 1} y_n^{k - 1} + a_{k - 2} y_n^{k - 2} + \cdot \cdot \cdot + a_p ,$

Keywords:	Non-linear difference equations exact analytical solutions chaoticgif" alt="lsquo" align="BASELINE" border="0">chaotic solutions" target="_blank">gif" alt="rsquo" align="BASELINE" border="0"> solutions
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