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    3. Computer Methods and Borel Summability Applied to Feigenbaum's Equation

    Computer Methods and Borel Summability Applied to Feigenbaum's Equation

    Posted By: step778
    Date: 8 Jun 2015 11:55:57
    Computer Methods and Borel Summability Applied to Feigenbaum's Equation

    Jean-Pierre Eckmann, Peter Wittwer, "Computer Methods and Borel Summability Applied to Feigenbaum's Equation"
    1985 | pages: 312 | ISBN: 3540152156, 0387152156 | PDF | 5,6 mb

    This book is an outgrowth of a seemingly trivial question, namely : what happens with the Feigenbaum universality when one restricts attention to functions of |x| (instead of x ), with N very large ? Closer numerical investigation [26,29,35,40] reveals that this question is hard, and that some aspects of the problem must become singular in the limit as N -»• <». In this work, we study this singular limit, and sketch its relation to the case of finite, but large N.

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