Investigation of the Stability and Existence of the Limit Cycles in Nanoparticle ModeLHero Waisi SalihDepartment of Mathematics, Faculty of Sceince and Health, Koya University http://koyauniversity.org In this work, the nanoparticle model is reconstructed and the respective Lyapunov quantities are computed for the corresponding system by the classical Lyapunov – Poincare method. The existence of a number of limit cycles of the system is investigated and shown that the system has no limit cycles. The first integral for the system is determined and finally, its stability in the plane is considered. This result on nanoparticle model which portrays the application of the second part of Hilbert sixteenth problem, where the problem is treated as a Stefan moving boundary problemAbstract: : Stability; Lyapunov quantities; Limit cycle; First integral; Nanoparticle modelKeywordsDate: 11/4/2017 Place: Hall1 Mathematics Dep. |

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