Sil′nikov Bifurcations in Generic 4-Unfo
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S. Ibanez; J.A. Rodriguez
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Article
📅
1995
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Elsevier Science
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English
⚖ 622 KB
The main aim of this paper is to prove analytically the existence of homoclinic orbits of focus-saddle type in generic unfoldings of a codimension-4 singularity whose 2 -jet in normal form is given by: \[ x_{2} \frac{\partial}{\partial x_{1}}+x_{3} \frac{\partial}{\partial x_{2}}+\left(a x_{1} x_{2