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I am currently reading the text "Practical Bifurcation and Stability Analysis" by Seyedel for an introduction to practical bifurcation theory.

I do not tatolly understand the theory and hope that some of you could help explain to an idiot like me.

I have read till P.80 of the books (I scanned a few pages, see below please).

I would like to ask, in the bifurcation diagram, there is a hopf bifurcation at R=33.45. My intuition is that, there are periodic oscialltions from R=29 to 33.45, is it correct? But why would there be period obits at R=22.3, R=19 as given by below diagrams?

I thought that at R=22.3 or 19, there are just stable and unstabl equilibria as indicated in the bifurcation diagram, why would there be periodic orbits?

I am sure that something is wrong with my concepts, please kindly rectify me.

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# Convection described by Lorenz's Equation Bifurcation

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