Book recommendations for Bifurcation Diagrams

[Ulver48]

Hello my friends,

I am studying excitability in quantum dot lasers and I see a lot of bifurcation diagrams with saddle node bifurcations, Hopf bifurcations, homoclinic bifurcations, PD bifurcations etc. I know some basic things about non-linear systems but I have never met the notion of bifurcations before, so I struggle a little bit here with the 2D parametric diagrams that I have to understand. Could you recommend a book or some sources that could help me understand these notions ?

Thank you in advance

 

[The Bill]

I like Steven H. Strogatz's book Nonlinear Dynamics and Chaos quite a bit as a first introduction to the mathematics and practical intuition. It's a generally good textbook, too. Either edition should be fine for you.