Multi-dimensioned intertwined basin boundaries and the kicked double rotor

Celso Grebogi, Eric Kostelich, Edward Ott, James A. Yorke

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

Using two examples, a four-dimensional kicked double rotor and a simple noninvertible one-dimensional map, we show that basin boundary dimensions can be different regions of phase space. For example, they can be fractal or not fractal depending on the region. In addition, we show that these regions of different dimension can be intertwined on arbitrarily fine scale. We conjecture, based on these examples, that a basin boundary typically can have at most a finite number of possible dimension values.

Original languageEnglish (US)
Pages (from-to)448-452
Number of pages5
JournalPhysics Letters A
Volume118
Issue number9
DOIs
StatePublished - Nov 17 1986
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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