摘要
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Replete unimodal function and other conceptions are defined. It is proved that for any continuous function φ, if φ has a unimodal orbit , then φ has all unimodal orbits whose types precede the orbit type of. They are altogether di...
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Replete unimodal function and other conceptions are defined. It is proved that for any continuous function φ, if φ has a unimodal orbit , then φ has all unimodal orbits whose types precede the orbit type of. They are altogether distributed on a compact subset X of I. The restriction φX of φ to X is a replete unimodal function. Moreover, an ordered classification φ of the function space C°(I,R) is given. It is a refinement of the famous Sarkovskii’s ordered classification F, and also a generalization of the conclusion obtained by Bhatia and Egerland not long ago.
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