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Period doubling bifurcation with a higher singularity and resolution of the singularity in nonlinear differential systems

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Abstract

Period doubling is considered when two or more different branches intersect at a bifurcation point and one of them consists of π-periodic solutions and the others consist of 2π-periodic solutions, and a method for computing such a bifurcation point with high accuracy is proposed.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Engineering, Tokushima University, 770, Tokushima, Japan

    Norio Yamamoto

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  1. Norio Yamamoto
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Yamamoto, N. Period doubling bifurcation with a higher singularity and resolution of the singularity in nonlinear differential systems. Japan J. Appl. Math. 4, 269 (1987). https://doi.org/10.1007/BF03167777

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  • DOI: https://doi.org/10.1007/BF03167777

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