WebWe classify the local bifurcations of quasi-periodic d-dimensional tori in maps (abbr. MTd) and in flows (abbr. FTd) for d ≥ 1. It is convenient to classify these bifurcations into normal bifurcations and resonance bifurcations. Normal bifurcations of MTd can be classified into four classes: namely, saddle-node, period doubling, double covering, and … Web24 mrt. 2024 · Hopf Bifurcation Theorem. where K is a free parameter (later I can write the system here). I've found two Hopf bifurcations at approximately K = 0.69 and K = 0.84. In between these two values, there is a clear stable limit cycle, and for K < 0.69 and K > 0.84 the oscilations die after some time t. Furthermore, after computing the eigenvalues, I ...
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