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Null-quadrics of codimension 4 in ℂ7

✍ Scribed by E. G. Anisova

Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
400 KB
Volume
62
Category
Article
ISSN
0001-4346

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Sil′nikov Bifurcations in Generic 4-Unfo
Sil′nikov Bifurcations in Generic 4-Unfoldings of a Codimension-4 Singularity
✍ S. Ibanez; J.A. Rodriguez 📂 Article 📅 1995 🏛 Elsevier Science 🌐 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