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LOCAL STABILITY OF CONTINUOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF NONHYPERBOLIC EQUILIBRIA

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Publication:3391954
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DOI10.1142/S0218127409023470zbMath1167.34332OpenAlexW1980279936MaRDI QIDQ3391954

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Publication date: 13 August 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127409023470


zbMATH Keywords

topological dynamicslocal bifurcationstopological equivalencecontinuous dynamical systems


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)




Cites Work

  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • Singularities of vector fields
  • Normal form for families of Hamiltonian systems
  • Normal forms for nonlinear vector fields. II. Applications
  • Normal forms for singularities of vector fields
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