標題: | Asymptotic synchronization of modified logistic hyper-chaotic systems and its applications |
作者: | Chang, Shu-Ming Li, Ming-Chia Lin, Wen-Wei 應用數學系 Department of Applied Mathematics |
關鍵字: | Modified logistic map;No window;Hyper-chaos;Asymptotic synchronization;Secure communication;Poincare recurrences |
公開日期: | 1-四月-2009 |
摘要: | In this paper, we propose a Modified Logistic Map (MLM) and give a theoretical proof to show that the MLM is a chaotic map according to Devaney's definition. The MLM not only has no chaotic window but is also uniformly distributed in [0, 1] for gamma >= 4. Furthermore, on the basis of the MLMs, we establish a Modified Logistic Hyper-Chaotic System (MLHCS) and apply the MLHCS to develop a symmetric cryptography algorithm, Asymptotic Synchronization of the Modified Logistic Hyper-Chaotic System (ASMLHCS). In our numerical simulation, we analyze the spectra of waveforms of sequences generated from the MLM, showing that the orbit forms a uniform distribution in [0, 1]. In addition, we compute the Poincare recurrences which indicate that the MLM possesses a positive topological entropy. (C) 2007 Elsevier Ltd. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.nonrwa.2007.11.010 http://hdl.handle.net/11536/7436 |
ISSN: | 1468-1218 |
DOI: | 10.1016/j.nonrwa.2007.11.010 |
期刊: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS |
Volume: | 10 |
Issue: | 2 |
起始頁: | 869 |
結束頁: | 880 |
顯示於類別: | 期刊論文 |