TY - JOUR ID - TI - Study of Stability of Non-linear Model with Hyperbolic Secant Function AU - Anas Salim Youns AU - Abdul Ghafoor Jasim Salim PY - 2019 VL - 28 IS - 1 SP - 106 EP - 120 JO - JOURNAL OF EDUCATION AND SCIENCE مجلة التربية والعلم SN - 1812125X 26642530 AB - 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.

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