@inproceedings{61c17d97c01143ebafc16d4f253d4853,
title = "The dynamics of a class of one-dimensional chaotic maps",
abstract = "To investigate the mechanism of chaotic phenomena, we conduct a research on the dynamics of one-dimensional chaotic maps. In this paper, we construct a topological tool which applies to general multi-modal maps for the first time. Then we analyze the dynamics of critical orbits with this tool, revealing that the critical orbits behave somewhat periodically. We analogize the iteration of maps to a one-sided shift, and give a probability explanation of Lyapunov exponent by Ergodic Theory, which provides a numerical computation method to calculate this exponent.",
keywords = "Chaos, Ergodicity, Lyapunov exponent",
author = "Sen Pei and Zhiming Zheng",
year = "2010",
language = "英语",
isbn = "9789604742639",
series = "International conference on Applied Mathematics - Proceedings",
pages = "122--127",
booktitle = "Recent Researches in Applied Mathematics - 15th WSEAS International Conference on Applied Mathematics, MATH'10",
note = "15th WSEAS International Conference on Applied Mathematics, MATH'10 ; Conference date: 29-12-2010 Through 31-12-2010",
}