Feigenbaum theory for unimodal maps with asymmetric critical point: Rigorous results
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We apply the methods of H. Epstein to prove the existence of a line of period-2 solutions of the Feigenbaum period-doubling renormalisation transformation. These solutions govern the universal behaviour of families of unimodal maps with "asymmetric critical points" of degree d, for which the dth derivative has differing left and right limits.
|Number of pages||18|
|Journal||Communications in Mathematical Physics|
|Publication status||Published - 1 Jan 1998|