✦ LIBER ✦

SIMPLEST NORMAL FORMS OF HOPF AND GENERALIZED HOPF BIFURCATIONS

✍ Scribed by YU, P.

Book ID: 126678495
Publisher: World Scientific Publishing Company
Year: 1999
Tongue: English
Weight: 505 KB
Volume: 09
Category: Article
ISSN: 0218-1274
DOI: 10.1142/S0218127499001401

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A general four-dimensional normal form of a double Hopf bifurcation is considered. As a particular case, the normal form of a forced (non-autonomous) non-linear oscillator having two frequencies, namely the linear natural frequency and the excitation frequency, is studied in detail. When these two f