Algorithms for determination of period-doubling bifurcation points in ordinary differential equations (Q1091086)
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scientific article; zbMATH DE number 4009695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algorithms for determination of period-doubling bifurcation points in ordinary differential equations |
scientific article; zbMATH DE number 4009695 |
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Algorithms for determination of period-doubling bifurcation points in ordinary differential equations (English)
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1987
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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.
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Feigenbaum sequence
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Lorenz model
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nonlinear dynamic systems
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autonomous system
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period-doubling bifurcation points
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periodic solutions
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systems of low order
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shooting method
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