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


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