Period doubling solutions in the duffing oscillator: a Galerkin approach
作者： R. Van Dooren , H. Janssen
DOI: 10.1016/0021-9991(89)90040-5
关键词: Period-doubling bifurcation 、 Numerical analysis 、 Fourier transform 、 Duffing equation 、 Series (mathematics) 、 Numerical stability 、 Mathematical analysis 、 Galerkin method 、 Mathematics 、 Attractor
摘要: The period doubling solutions for the attractor introduced by Huberman and Crutchfield are studied in relevant range forcing frequency a numerical method based on computation of Galerkin Fourier approximations with very high accuracy. For answering an affirmative manner questions existence exact doubled solution, error estimate transition from stable to unstable precise combined periodic series representations required. It is shown that algorithm which uses order efficient one.
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