Stability conditions of limit cycle for Gompertz Autoregressive model

In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive model with period,  with giving some examples fo...

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Bibliographic Details
Published inTikrit Journal of Pure Science Vol. 28; no. 2; pp. 129 - 134
Main Authors Nezar E. Ali, Azher A. Mohammad
Format Journal Article
LanguageEnglish
Published Tikrit University 27.04.2023
Subjects
Gompertz Autoregressive model
Limit cycle
Non- linear time series
Singular point
Stability
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Summary:In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive model with period,  with giving some examples for Gompertz AR (1) to explain the orbital stable or the orbital unstable with plots the trajectories with different initial values.
ISSN:1813-1662
2415-1726
DOI:10.25130/tjps.v28i2.1348