Scholarlink

<p>This study investigates the dynamical behavior of a modified Brusselator model, with a particular focus on codimension-one bifurcations, including period-doubling and Neimark–Sacker bifurcations. Additionally, it examines codimension-two bifurcations associated with strong resonances such as 1:2, 1:3, and 1:4. The analysis is carried out using the normal form method and bifurcation theory. To validate the theoretical findings, detailed numerical simulations are performed, showcasing phase portraits, two-parameter bifurcation diagrams, and maximum Lyapunov exponent diagrams. These simulations effectively capture the system’s behavior as two parameters vary in a three-dimensional space, offering deep insights into its underlying dynamics and reinforcing theoretical predictions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Codimension-one and codimension-two bifurcations of a modified Brusselator model

  • 期刊论文

  • 发表日期：

    2025年4月11日

查看全文
  • Muhammad Asif Khan,
  • Muhammad Salman Khan,
  • Qamar Din,
  • Walid Abdelfattah

摘要

This study investigates the dynamical behavior of a modified Brusselator model, with a particular focus on codimension-one bifurcations, including period-doubling and Neimark–Sacker bifurcations. Additionally, it examines codimension-two bifurcations associated with strong resonances such as 1:2, 1:3, and 1:4. The analysis is carried out using the normal form method and bifurcation theory. To validate the theoretical findings, detailed numerical simulations are performed, showcasing phase portraits, two-parameter bifurcation diagrams, and maximum Lyapunov exponent diagrams. These simulations effectively capture the system’s behavior as two parameters vary in a three-dimensional space, offering deep insights into its underlying dynamics and reinforcing theoretical predictions.