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Study of Stability of Non-linear Model with Hyperbolic Secant Function | ||
| Journal of Education and Science | ||
| Article 10, Volume 28, Issue 1, 2019, Pages 106-120 PDF (491.97 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/edusj.2019.160917 | ||
| Authors | ||
| Anas Salim Youns Anas Youns; Abdul Ghafoor Salim | ||
| 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. | ||
| Keywords | ||
| Time series; Local linearization; Singular point; limit cycle | ||
| References | ||
|
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