A geometric characterisation of resonance in Hopf bifurcation from relative equilibria期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A geometric characterisation of resonance in Hopf bifurcation from relative equilibria

Authors:	David Chan

Affiliation:	Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey, GU2 7XH, UK

Abstract:	We give a new characterisation of resonance in Hopf bifurcation from relative equilibria in systems with compact symmetry group. This characterisation provides a full geometric explanation of the resonance phenomenon. In addition, we develop techniques based on normal form theory to give a complete solution to the associated bifurcation problem.

Keywords:	Resonant Hopf bifurcation Relative periodic solutions Compact symmetry group Normal form
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