Hi all!(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Convection described by Lorenz's Equation Bifurcation

**Physics Forums | Science Articles, Homework Help, Discussion**