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EXISTENCE OF NON-BIJECTIVE SOLUTION FOR GENERALIZED FEIGENBAUM'S FUNCTIONAL EQUATION

EXISTENCE OF NON-BIJECTIVE SOLUTION FOR GENERALIZED FEIGENBAUM'S FUNCTIONAL EQUATION
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摘要 Ⅰ. INTRODUCTION Many very important regularities such as universality, scaling and transition from period-doubling to chaotic phenomena displayed in the one-parameter families of nonlinear maps are closely related to the Feigenbaum’s functional equation. Therefore, the problem of seeking its solution had drawn much attention. Collet et al. explored the iterated solution in numerical value for the first time in 1980. However they often imposed
出处 《Chinese Science Bulletin》 SCIE EI CAS 1987年第6期371-375,共5页
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