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The Pitchfork Bifurcation

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Publication:5371167
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DOI10.1142/S0218127417501322zbMath1373.34058arXiv1609.05996MaRDI QIDQ5371167

Indika Rajapakse, Stephen Smale

Publication date: 25 October 2017

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

Full work available at URL: https://arxiv.org/abs/1609.05996


zbMATH Keywords

symmetryequilibriumpitchfork bifurcation


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)


Related Items (4)

Reconstruction of pitchfork bifurcation with exogenous disturbances based on equivalent-input-disturbance approach ⋮ Stable and non-symmetric pitchfork bifurcations ⋮ The Pitchfork Bifurcation ⋮ A New Dynamic Stall Approach for Investigating Bifurcation and Chaos in Aeroelastic Response of a Blade Section with Flap Free-Play Section



Cites Work

  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • Elements of applied bifurcation theory.
  • Mathematics of the genome
  • Multiple zeros of nonlinear systems
  • Emergence of function from coordinated cells in a tissue
  • The Pitchfork Bifurcation


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