Universal Bifurcation Structures of Forced Oscillators : Complex Dynamics in Nonlinear Systems

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概要

• 論文の詳細を見る

• We investigate the effect of periodically forcing a system near a Hopf bifurcation. The discussion is restricted to cases where the ratio of the natural to forcing frequency is p/2, with p an integer. We study a truncation of the Taylor expansion of the vector field expressed in normal form, find a universal bifurcation structure, and obtain explicit expressions for the bifurcation sets. The analytic results agree well with numerical solutions of a model autocatalytic chemical reaction.

• 理論物理学刊行会の論文
• 1990-03-28

著者

• Ross J

  Department Of Chemistry Stanford University

• Ross John

  Department Of Chemistry Massachusetts Institute Of Technology

• VANCE William

  Department of Chemistry, Stanford University

• TSAROUHAS George

  Department of Chemistry, Stanford University

• Vance William

  Department Of Chemistry Stanford University

• Tsarouhas George

  Department Of Chemistry Stanford University

• ROSS John

  Department of Chemistry, Stanford University

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• Universal Bifurcation Structures of Forced Oscillators : Complex Dynamics in Nonlinear Systems

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