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Structural stability under conditions of nonhyperbolicity

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Publication:5948751
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DOI10.1016/S0898-1221(00)00318-7zbMath0986.37039MaRDI QIDQ5948751

J. C. Valverde Fajardo, Francisco Balibrea

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

attracting fixed pointnonhyperbolic fixed point


Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)


Related Items

Cusp and generalized flip bifurcations under higher degree conditions



Cites Work

  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • Applications of centre manifold theory
  • 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
  • On the bifurcation of maps of the interval
  • Cusp and generalized flip bifurcations under higher degree conditions
  • Discrete Dynamical Systems in Dimensions One and Two
  • Properties of Center Manifolds
  • Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
  • Elements of applied bifurcation theory
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