Please tell me some methods to analyse core dump in AIX.
Neverd tried this, tbh. Best just google for it - you will find plenty stuff about it.
There is a separate course (Kernel Internals), where this is taught. Even if i would point you to some tools (kdb, the kernel debugger for instance) - without proper training and a lot of knowledge about the inner workings of the AIX kernel you would not be able to interpret what you would see there as output, so your question doesn't make much sense.
I'd suggest that if you are really interested in such things you take the appropriate class.
I hope this helps.
bakunin