Expanding Direction of the Period Doubling Operator
نویسندگان
چکیده
We prove that the period doubling operator has an expanding di rection at the xed point We use the induced operator a Perron Frobenius type operator to study the linearization of the period dou bling operator at its xed point We then use a sequence of linear operators with nite 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 xed point
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