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The simplest parametrized normal forms of Hopf and generalized Hopf bifurcations

โœ Scribed by Pei Yu; Guanrong Chen


Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
522 KB
Volume
50
Category
Article
ISSN
0924-090X

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๐Ÿ“œ SIMILAR VOLUMES


NORMAL FORM OF DOUBLE HOPF BIFURCATION I
โœ Q.C. ZHANG; A.Y.T. LEUNG ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 143 KB

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