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- W2008835306 abstract "The question of integrability of systems of ordinary differential equations (ODEs) has been studied extensively for centuries. Recently, however, owing to an upsurge of interest in chaos, a lot of studies have focused on the investigation of non-integrable systems, where chaos often manifests itself as “extremely sensitive dependence on initial conditions” of a dense set of real solutions in real time. Here, we argue that non-integrability can be efficiently investigated by solving ODEs in complex time and review recent results which strongly suggest that for a system of ODEs to be non-integrable it is necessary that it possess a dense set of infinitely-sheeted solutions in the complex domain." @default.
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- W2008835306 date "1995-09-01" @default.
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- W2008835306 title "Investigating non-integrability and chaos in complex time" @default.
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- W2008835306 doi "https://doi.org/10.1016/0167-2789(95)00106-e" @default.
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