Krasnosel'skii, AM,McInerney, J,Pokrovskii, AV;

2004

April

Methods

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

Validated

()

weak resonances Hopf bifurcation dynamical control systems LINEAR DYNAMIC-SYSTEMS ROUGHNESS

57

929

949

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. (C) 2004 Elsevier Ltd. All rights reserved.

DOI 10.1016/j.na.2004.03.028