Normal Forms and Bifurcation of Planar Vector Fields

This Book Is Mainly Concerned With The Bifurcation Theory Of Odes. Chapters 1 And 2 Of The Book Introduce Two Systematic Methods Of Simplifying Equations: Center Manifold Theory And Normal Form Theory By Which One May Reduce The Dimension Of Equations And Change Forms Of Equations To Be As Simple As Possible. Chapters 3-5 Of The Book Study In Considerable Detail The Bifurcation Of Those One Or Two Dimensional Equations With One Two Or Several Parameters.