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Duck solutions: A new kind of bifurcation phenomenon in relaxation oscillations

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Publication:4868046
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DOI10.1007/BF02109395zbMath0838.34041MaRDI QIDQ4868046

Cuiping Li

Publication date: 5 March 1996

Published in: Acta Mathematica Sinica (Search for Journal in Brave)


zbMATH Keywords

limit cyclesbifurcationasymptotic methodsduck solutionsduck cycles


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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15)


Related Items (3)

Canard solutions of two-dimensional singularly perturbed systems ⋮ Existence of canards under non-generic conditions ⋮ RELAXATION OSCILLATIONS IN SINGULARLY PERTURBED GENERALIZED LIENARD SYSTEMS WITH NON-GENERIC TURNING POINTS



Cites Work

  • Nonstandard analysis. A practical guide with applications
  • Relaxation oscillations including a standard chase on French ducks
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