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Topological equivalence and the Hopf bifurcation

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Publication:1257585
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DOI10.1016/0022-247X(78)90255-XzbMath0406.34019MaRDI QIDQ1257585

Kenneth James Palmer

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

Hopf BifurcationHartman's Linearization TheoremTopological Equivalence


Mathematics Subject Classification ID

General theory for ordinary differential equations (34A99)


Related Items (1)

The center manifold theorem for a discrete system




Cites Work

  • Unnamed Item
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  • Linearization near an integral manifold
  • The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
  • Linearization of reversible systems
  • Linearization of systems with an integral
  • A generalization of Hartman's linearization theorem
  • The stable, center-stable, center, center-unstable, unstable manifolds




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