Estimation of the Boundary of the Limit Cycle of Brusselator Oscillators by the Renormalization Group Method

• Li Wang ^[1] ; Yuzhen Bai ^[1]
  1. [1] Qufu Normal University

     Qufu Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 4, 2023
• Idioma: inglés
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• Resumen

  • In this paper, a method to explore the limit cycle region in the parameter space of a 2D nonlinear chemical oscillator was provided. Applying the renormalization group method, we derive that the boundaries of the Brusselator oscillator’s limit cycles at various points in parameter space can be predicted. The validity of our method is verified by numerical simulations