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- W2073107007 abstract "An asymptotic and numerical study is made of the singularity structure, in the complex t-plane, of the Duffing oscillator. The presence of logarithmic terms in the local psi-series expansion, of the form t4 ln t, leads to a multisheeted singularity structure of great complexity. This structure is built recursively from an elemental pattern which takes the form of four-armed 'stars' of singularities. This construction is deduced analytically from the properties of the mapping z=t4 ln t and is confirmed quite accurately numerically. A systematic resummation of the psi series, in terms of Lame functions, is developed. This series exhibits the same analytic structure at all orders and provides a 'semi-local' analytical representation of the solution which is apparently valid even in the chaotic regime." @default.
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- W2073107007 date "1988-01-07" @default.
- W2073107007 modified "2023-10-06" @default.
- W2073107007 title "Singularity clustering in the Duffing oscillator" @default.
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- W2073107007 doi "https://doi.org/10.1088/0305-4470/21/1/014" @default.
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