From the reviews of the third edition:
The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics. Proceedings of the Edinburgh Mathematical Society
Methods of practical bifurcation and stability analysis are crucial instruments in applied mathematics. This fact stimulated the author to publish an up-to-date third edition, sixteen years after appearing the second edition. ... The references contain more than 600 items. The excellent presentation of the material will stimulate people in applied sciences to apply the well-prepared instruments. (Klaus R. Schneider, Zentralblatt MATH, Vol. 1195, 2010)