Hopf bifurcations and degeneracies in Chua's circuit - A perspective from a frequency domain approach

In the present work explicit formulas for analyzing the birth of limit cycl es arising in the Chua's circuit through a Hopf bifurcation is provided. A local amplitude equation is derived using a frequency domain approach and h armonic balance approximations. Furthermore, the first Lyapunov index used to detect degenerate Hopf bifurcations is derived in terms of the parameter s of the nonlinear circuit. A perspective for analyzing other bifurcations using this frequency domain approach is discussed.