In this paper we consider iteration of single-plateau functions,an important class of continuous functions with infinitely many forts,and investigate changes of number and length of plateaux under iteration.We use the...In this paper we consider iteration of single-plateau functions,an important class of continuous functions with infinitely many forts,and investigate changes of number and length of plateaux under iteration.We use the indices flatness,plateau limit and limit length to formulate those changes.Furthermore,we compute the flatness,plateau limit and limit length for all the nine types of single-plateau functions.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11501394,11771307 and 11726623)Science Research Fund of Sichuan Provincial Education Department(Grant No.15ZB0041)China Scholarship Council。
文摘In this paper we consider iteration of single-plateau functions,an important class of continuous functions with infinitely many forts,and investigate changes of number and length of plateaux under iteration.We use the indices flatness,plateau limit and limit length to formulate those changes.Furthermore,we compute the flatness,plateau limit and limit length for all the nine types of single-plateau functions.
