Summary
By employing a numerical method which uses only rather classical tools of Numerical Analysis such as Newton's method and routines for ordinary differential equations, unstable periodic solutions of differential-difference equations can be computed. The method is applied to determine bifurcation diagrams with backward bifurcation.
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Dedicated to Professor Lothar Collatz on the occasion of his 70th birthday
This paper has been read at the Conference of Numerical Mathematicians, Zeist, The Netherlands, October 12–15, 1979
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Hadeler, K.P. Effective computation of periodic orbits and bifurcation diagrams in delay equations. Numer. Math. 34, 457–467 (1980). https://doi.org/10.1007/BF01403681
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DOI: https://doi.org/10.1007/BF01403681