Bifurcation analysis and control of periodic solutions changing into invariant tori in Langford system

• 来源期刊: 中国物理B（英文版）
• 关键词: Langford system nonlinear control secondary Hopf bifurcation torus
• 年，卷（期）: 2008,（5）
• 页码范围: 1691-1697
• 页数: 7页
• 语种: 英文

摘要

Bifurcation characteristics of the Langford system in a general form are systematically analysed,and nonlinear controls of periodic solutions changing into invariant tori in this system are achieved.Analytical relationship between control gain and bifurcation parameter is obtained.Bifurcation diagrams are drawn,showing the results of control for secondary Hopf bifurcation and sequences of bifurcations route to chaos.Numerical simulations of quasi-periodic tori validate analytic predictions.