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Mar 1, 2010 at 6:08 comment added Thomas Sauvaget Well, at that point you really need to sit down and do some reading and computations for yourself on simple examples, over several days. Another excellent reference, a complete course textbook this time, is Elements of applied bifurcation theory (second edition) by Kuznetsov, there are even some excerpts on google books. I'm sure there are also good sets of lecture notes on the web for free.
Feb 28, 2010 at 23:16 comment added Kamran Bigdely thanks but I need more elaborate answer here. I've read the resources you've mentioned. but some parts of them are blurred. by the way, I made the question more specific.
Feb 27, 2010 at 20:53 history answered Thomas Sauvaget CC BY-SA 2.5