On the Proof of Existence of a Limit Cycle for the Prigogine Brusselator Model


  •  Abdulla Azamov    
  •  Gafurjan Ibragimov    
  •  Odiljon Axmedov    
  •  Fudziah Ismail    

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 the
new method called discrete numerical (DN) tracking of trajectory
combined with the Poincare-Bendickson theorem. 


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