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Algorithms for determination of period-doubling bifurcation points in ordinary differential equations. (English) Zbl 0622.65069
The paper presents four new algorithms for evaluating period-doubling bifurcation points in periodic solutions of autonomous and nonautonomous systems. These algorithms can be used for systems of low order (n<20). The use of the algorithms is limited by the applicability of the shooting method.
Reviewer: Yu.V.Kostarchuk
MSC:
65L99Numerical methods for ODE
37-99Dynamic systems and ergodic theory (MSC2000)