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- W1997290910 abstract "A new numerical experiment is discussed which shows a quasi-periodic route to intermittent chaos - typical for near-conservative, dispersive waves of small amplitude (nonlinear Schrödinger regime) in one spatial dimension. This route has: temporally one frequency, then two, then chaos; associated spatial symmetry changes; a low dimensional intermittent strange attractor. A nonlinear spectral transform has been used to show: a small number of nonlinear modes in the chaotic state; interaction of coherent modes with radiation modes: and, most importantly, that (unperturbed) homoclinic states are crossed repeatedly in these regimes. These homoclinic states: (a) separate spatially localized modes from radiation modes, and (b) act as sources of extreme sensitivity which can produce temporal chaos: for the first time homoclinic states have been simultaneously associated with both spatial patterns and temporal chaos." @default.
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- W1997290910 date "1988-03-01" @default.
- W1997290910 modified "2023-10-18" @default.
- W1997290910 title "Quasi-periodic route to chaos in a near-integrable PDE: Homoclinic crossings" @default.
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- W1997290910 doi "https://doi.org/10.1016/0375-9601(88)90580-4" @default.
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