@Article{, title={Study of Stability of Non-linear Model with Hyperbolic Secant Function}, author={Anas Salim Youns and Abdul Ghafoor Jasim Salim}, journal={JOURNAL OF EDUCATION AND SCIENCE مجلة التربية والعلم}, volume={28}, number={1}, pages={106-120}, year={2019}, abstract={We study a new definition of a non-linear model of time series with hyperbolic secant function in a discrete time. The suggested model consist of two parts the first part is (linear) and the second part is (non-linear) which contains the hyperbolic secant function. We approximate this model to be linear by using the local linearization technique. We find the non-zero unique singular point that satisfies the non-linear variation equation, also stability of the non-zero unique singular point and the limit cycle if it exists of the suggested model.

} }