Local Bifurcations

  • Stephen Wiggins
Part of the Texts in Applied Mathematics book series (TAM, volume 2)


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.


Vector Field Periodic Orbit Normal Form Bifurcation Point Center Manifold 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Stephen Wiggins
    • 1
  1. 1.Department of Applied MechanicsCalifornia Institute of TechnologyPasadenaUSA

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