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Nonlinear Systems: Bifurcation Theory

1991
In Chapters 2 and 3 we studied the local and global theory of nonlinear systems of differential equations $$ \dot{x} = f(x) $$ (1) with f ∈ C1(E) where E is an open subset of R n . In this chapter we address the question of how the qualitative behavior of (1) changes as we change the function or vector field f in (1).
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On the foundations of bifurcation theory

Nonlinear Analysis: Theory, Methods & Applications, 1994
Peter Seibert, José S. Florio
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SYNERGETICS AND BIFURCATION THEORY*

Annals of the New York Academy of Sciences, 1979
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