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1. Introduction. 1.1. Stability bifurcations. 1.2. Center manifold theorem. 1.3. Limit cycles and degenerate Hopf bifurcations -- 2. The Hopf bifurcation theorem. 2.1. Introduction. 2.2. The Hopf bifurcation theorem in the time domain. 2.3. The Hopf theorem in the frequency doma…
This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses. Besides showing that the time and frequency domain approaches are in fact equivalent, the fact that many significant results and computational formulas obtained in t…