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Bifurcation Analysis in Planar Quadratic Differential Systems with Boundary

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Publication:5116614
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DOI10.1142/S0218127420300177OpenAlexW3039243050MaRDI QIDQ5116614

Fernando Verduzco, Jocelyn A. Castro

Publication date: 18 August 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420300177


zbMATH Keywords

quadratic systemstationary bifurcationdifferential systems with boundarytranscritical Bogdanov-Takens bifurcation


Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23)




Cites Work

  • Generic bifurcations of low codimension of planar Filippov systems
  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • Generic bifurcation in manifolds with boundary
  • The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems
  • An unfolding of the Takens-Bogdanov singularity
  • One-Parameter Bifurcations in Planar Filippov Systems
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