Study of stability of non-linear model with hyperbolic secant function

Abstract EN

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.