Nonlinear Piecewise-defined Difference Equations with Reciprocal and Cubic Terms

Ramadan Sabra, Saleem S. Al-ashhab

Abstract


In this paper we consider the several types of piecewise
defined sequences. We prove some results concerning the
behavior of the sequence. In some cases we prove that the terms repeat themselves in certain patterns, and we prove in other cases that the terms grow monotonically after few terms and approaches infinity.


Keywords


component; difference equations; discrete dynamical systems; bifurcation; periodic sequences

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