Synchronized double-frequency oscillations in a class of weakly resonant systems

Synchronized double-frequency oscillations in a class of weakly resonant systems

Subharmonic oscillations in the weak resonant Hopf bifurcation in control systems is studied. The principal result is that the structure of the set of subharmonics is defined by the main homogeneous part of the nonlinearity if this main part is not a polynomial. The analysis is based on topological...

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Veröffentlicht in:Nonlinear analysis 2004-06, Vol.57 (7), p.929-949
Hauptverfasser: Krasnosel'skii, A.M., McInerney, J., Pokrovskii, A.V.
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical control systems
Hopf bifurcation
Weak resonances
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Zusammenfassung:Subharmonic oscillations in the weak resonant Hopf bifurcation in control systems is studied. The principal result is that the structure of the set of subharmonics is defined by the main homogeneous part of the nonlinearity if this main part is not a polynomial. The analysis is based on topological methods and harmonic linearization.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2004.03.028