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  • 1
    Electronic Resource
    Electronic Resource
    Expanding direction of the period doubling operator (1992)
    Springer
    Communications in mathematical physics 144 (1992), S. 509-520 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02099180
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