Analytical Description of the Basin and T H E Transients of a Point a I T R a C T O R of the I-ienon Mapping
نویسنده
چکیده
Explicit expressions for closed curves C n about the attractor that enclose a part of its basin are obtained. If n ~ oo the interior of C, covers the complete basin. A sequence of invertible polynomial transformations is given, that converges rapidly towards the normal transformation, that transforms the nonlinear motion in the basin to a linear one. Using these t ransformations we obtain some practical tools to describe one aspect of the transient behavior in the basin.
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