@article{Abdulghafoor Jasim Salim_Ebrahem_Suhirman_2020, title={STUDYING THE STABILITY BY USING LOCAL LINEARIZATION METHOD}, volume={2}, url={https://journal.uty.ac.id/index.php/IJETS/article/view/57}, DOI={10.46923/ijets.v2i1.57}, abstractNote={<p><strong>Abstract</strong>:</p> <p>In this paper we study the stability of one of a non linear autoregressive model with trigonometric term&nbsp; by using local linearization method proposed by Tuhro Ozaki .We find the singular point ,the stability of the singular point and the limit cycle. We conclude&nbsp; that the proposed model under certain conditions have a non-zero singular point which is&nbsp; a asymptotically salable ( when&nbsp; 0 ) and have an&nbsp; orbitaly stable limit cycle . Also we give some examples in order to explain the method.</p> <p><strong>Key</strong> <strong>Word</strong><strong>s </strong><strong>:</strong> Non-linear Autoregressive model; Limit cycle; singular point; Stability.</p&gt;}, number={1}, journal={International Journal of Engineering Technology and Natural Sciences}, author={Abdulghafoor Jasim Salim and Ebrahem, Kais Ismail and Suhirman}, year={2020}, month={Jul.}, pages={27 - 31} }