Local and Global Bifurcations

  • Stephen Lynch

Aims and Objectives

• To introduce some local and global bifurcation theory in the plane.

• To bifurcate limit cycles in the plane.

• To introduce elementary theory of Gröbner bases.

On completion of this chapter, the reader should be able to

• bifurcate small-amplitude limit cycles from fine foci;

• solve systems of multivariate polynomial equations;

• bifurcate limit cycles from a center;

• investigate limit cycle bifurcation from homoclinic loops, numerically.


Phase Portrait Global Bifurcation Homoclinic Bifurcation Melnikov Function Division Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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