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A Numerical Approach to Bifurcations from Quadratic Centers

✍ Scribed by Douglas S Shafer; Xiaonan Wu; André Zegeling

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
198 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis

A combination of analytical and numerical work is done to analyze bifurcation of limit cycles from non-Hamiltonian codimension-three quadratic centers. The winding curve C C of cyclicity-three separatrix cycles, qualitatively located in earlier 3 Ž . Ž .

Ž . work, is determined numerically. Evidence is given that the 2,2 , 3,2 , and 3,3 configurations of limit cycles do not bifurcate from this class of quadratic centers.

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