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Investigation of the Stability and Existence of the Limit Cycles in Nanoparticle ModeL

Hero Waisi Salih
Department of Mathematics, Faculty of Sceince and Health, Koya University

Abstract: 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 problem

KeywordsStability; Lyapunov quantities; Limit cycle; First integral; Nanoparticle model

Date: 11/4/2017
Place: Hall1 Mathematics Dep.
Caroline Yousif Daniel,
Apr 29, 2017, 2:17 AM