On the Proof of Existence of a Limit Cycle for the Prigogine Brusselator Model
Абдулла АзамовInstitute of Mathematics and IT, Academy of Sciences of Uzbekistan Do'rmon yo'li st-t, Tashkent, 100125, UzbekistanGafurjan IbragimovINSPEM & Department of Mathematics, Universiti Putra Malaysia 43400, Serdang, Selangor, MalaysiaOdiljon AxmedovInstitute of Mathematics and IT, Academy of Sciences of Uzbekistan Do'rmon yo'li st-t, Tashkent, 100125, UzbekistanFudziah IsmailDepartment of Mathematics, Universiti Putra Malaysia 43400, Serdang, Selangor, Malaysia
ABI
Abstract
Existence of a limit cycle for the dynamical system well-known as the Prigogine brusselator model is proved when parameters of the system take concrete values. The proof is conducted by thenew method called discrete numerical (DN) tracking of trajectorycombined with the Poincare-Bendickson theorem.