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Cp singularity theory and heteroclinic bifurcation with a distinguished parameter

open access: yesJournal of Differential Equations, 1992
A planar dynamical system \(\dot z=h(z,\lambda)\) with one distinguished real parameter \(\lambda\) having for \(\lambda=0\) a hyperbolic saddle \(p_ 0\) and a semihyperbolic equilibrium \(q_ 0\) (a fold) with one negative and one zero eigenvalue of \(Dh(q_ 0)\) is considered. The bifurcation being investigated is the existence of a heteroclinic orbit \
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