๐”– Bobbio Scriptorium
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UNFOLDING A DEGENERATE NONLINEAR OSCILLATOR: A CODIMENSION TWO BIFURCATION

โœ Scribed by Philip Holmes

Book ID
118718571
Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
605 KB
Volume
357
Category
Article
ISSN
0890-6564

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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