In this chapter we study local bifurcations of vector fields and maps. By the term “local” we mean bifurcations occurring in a neighborhood of a fixed point. The term “bifurcation of a fixed point” will be defined after we have considered several examples. We begin by studying bifurcations of fixed points of vector fields.
KeywordsVector Field Periodic Orbit Normal Form Bifurcation Point Center Manifold
Unable to display preview. Download preview PDF.