Study of Stability of Non-linear Model with Hyperbolic Secant Function
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 li...
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| Main Authors: | , |
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| Format: | Book |
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College of Education for Pure Sciences,
2019-03-01T00:00:00Z.
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| Online Access: | Connect to this object online. |
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| Summary: | 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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| Item Description: | 1812-125X 2664-2530 10.33899/edusj.2019.160917 |