Analytical description of the basin and the transients of a point attractor of the Hénon mapping

T.P. Valkering

Research output: Contribution to journalArticleAcademic

5 Citations (Scopus)
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Abstract

Explicit expressions for closed curves Cn about the attractor that enclose a part of its basin are obtained. If n → ∞ the interior of Cn 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 transformations we obtain some practical tools to describe one aspect of the transient behavior in the basin.
Original languageEnglish
Pages (from-to)483-485
JournalPhysica D
Volume18
Issue number1-3
DOIs
Publication statusPublished - 1986

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