ABSTRACT

In this appendix, singularity theory is applied to the simplified master equation of form II:

˜G (

˜I , A, p˜ ) = 0, (D.1)

where

˜G = ˜θ A3 + (

(K2 − 1) ˜θ + ˜I − 1 )

A2

+ (

K1 + 1 + (K2 − 1)˜I − K2 ˜θ )

A − K2 ˜I ,

and

p˜ = ( ˜θ, K1, K2), ˜θ = αβ, ˜I = βγ I.