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Study of Stability of Non-linear Model with Hyperbolic Secant Function

Anas Salim Youns Youns et al · University of Mosul, College of Education for Pure Science · 2019

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Author / responsible party
Anas Salim Youns Youns et al
Publisher
University of Mosul, College of Education for Pure Science
Year
2019
ISSN
1812-125X
ISSN
1812-125X
Language
English
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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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APA 7

al, A. S. Y. Y. E. (2019). Study of Stability of Non-linear Model with Hyperbolic Secant Function. https://doi.org/10.33899/edusj.2019.160917

MLA

al, Anas Salim Youns Youns et. "Study of Stability of Non-linear Model with Hyperbolic Secant Function." 2019. https://doi.org/10.33899/edusj.2019.160917.

Chicago

al, Anas Salim Youns Youns et. 2019. "Study of Stability of Non-linear Model with Hyperbolic Secant Function.". https://doi.org/10.33899/edusj.2019.160917.

Harvard

al, A. S. Y. Y. E. 2019, Study of Stability of Non-linear Model with Hyperbolic Secant Function, University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2019.160917 [Accessed 8 Aug. 2026].

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Title
Study of Stability of Non-linear Model with Hyperbolic Secant Function
Author / contributors
Anas Salim Youns Youns et al
Publisher
University of Mosul, College of Education for Pure Science
Publication year
2019
ISSN
1812-125X
ISSN
1812-125X
Language
English

Subjects

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time series; local linearization; singular point; limit cycle
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