• Corpus ID: 117173067

Lectures on Numerical Methods in Bifurcation Problems

  title={Lectures on Numerical Methods in Bifurcation Problems},
  author={Herbert B. Keller},
  • H. Keller
  • Published 20 January 1988
  • Mathematics
These lectures introduce the modern theory and practical numerical methods for continuation of solutions of nonlinear problems depending upon parameters. Bifurcations are one of the many types of singularities that occur along such solution paths and their computation and methods for switching branches are treated. Homotopy methods and degree theory are introduced as are global Newton methods, constructive determination of Brouwer fixed points, periodic solutions of O.D.E.s, Hopf bifurcations… 
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