Nonlinear Piecewise-Defined Difference Equations with Reciprocal Quadratic Terms | Science Publications

Journal of Mathematics and Statistics

Ramadan Sabra¹  Saleem Shafiq Al-Ashhab¹ 

关键词: Difference Equations;    Discrete Dynamical Systems;    Bifurcation;    Periodic Sequences;   

DOI  :  10.3844/jmssp.2015.88.92

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Inthis study we consider the several types of piece-wise defined sequences. Weprove some results concerning the behavior of the sequence. In some cases weprove that the terms repeat themselves in certain patterns and we prove inother cases that the terms grow monotonically after few terms and approaches infinity.

【 授权许可】

Unknown