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Digitale Medien

Expanding direction of the period doubling operator (1992)

Jiang, Yunping ; Morita, Takehiko ; Sullivan, Dennis

Springer

Communications in mathematical physics 144 (1992), S. 509-520

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Details

ISSN: 1432-0916

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: Abstract We prove that the period doubling operator has an expanding direction at the fixed point. We use the induced operator, a “Perron-Frobenius type operator,” to study the linearization of the period doubling operator at its fixed point. We then use a sequence of linear operators with finite ranks to study this induced operator. The proof is constructive. One can calculate the expanding direction and the rate of expansion of the period doubling operator at the fixed point.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02099180

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