Temporally Normalizable Generic Unfoldings of Order-1 Weak Foci

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• 作者：Waldo Arriagada-Silva
• 关键词：Normal form ; Temporal modulus ; Poincaré domain ; Weak focus ; 34M35 ; 34M40 ; 37F75 ; 37G05 ; 37G15
• 刊名：Journal of Dynamical and Control Systems
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：21
• 期：2
• 页码：239-256
• 全文大小：655 KB
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  4. Arriagada-Silva W, Rousseau C. The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations. Annales de la Faculté des Sciences de Toulouse 2011;20(3):541-80. CrossRef
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Calculus of Variations and Optimal Control
  Analysis
  Applications of Mathematics
  Systems Theory and Control
  
• 出版者：Springer Netherlands
• ISSN：1573-8698

文摘

In this paper, we describe the obstructions preventing the germ of an order-1 elliptic family from being temporally normalizable in the analytic case. We describe two classes of symmetries on the temporal part of the modulus. They arise out of an anti-holomorphic involution of the complex foliation. We identify the temporal modulus of analytic classification in the Poincaré domain in the parameter space.