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What are the separatrix values named by Leontovich on homoclinic bifurcation

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Publication:939851
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DOI10.1007/BF02465384zbMath1144.37440MaRDI QIDQ939851

Hai-Ying Luo, Ji-Bin Li

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)


zbMATH Keywords

limit cyclehomoclinic bifurcationsaddle valueseparatrix value


Mathematics Subject Classification ID

Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)


Related Items (1)

Loop Numbers for the Stability of Homoclinic Loops of Planar Vector Fields




Cites Work

  • Theory of values of singular point in complex autonomous differential systems
  • On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
  • Generalized Hopf Bifurcation and Its Dual Generalized Homoclinic Bifurcation
  • Bifurcation Theory and Methods of Dynamical Systems
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