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- W2033525529 endingPage "1126" @default.
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- W2033525529 abstract "The stable and unstable manifolds associated with a saddle point in two-dimensional non–area-preserving flows under general time-aperiodic perturbations are examined. An improvement to existing geometric Melnikov theory on the normal displacement of these manifolds is presented. A new theory on the previously neglected tangential displacement is developed. Together, these enable locating the perturbed invariant manifolds to leading order. An easily usable Laplace transform expression for the location of the perturbed time-dependent saddle is also obtained. The theory is illustrated with an application to the Duffing equation." @default.
- W2033525529 created "2016-06-24" @default.
- W2033525529 creator A5015924313 @default.
- W2033525529 date "2011-01-01" @default.
- W2033525529 modified "2023-09-25" @default.
- W2033525529 title "A Tangential Displacement Theory for Locating Perturbed Saddles and Their Manifolds" @default.
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- W2033525529 doi "https://doi.org/10.1137/100814640" @default.
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