A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis

被引：14

作者：

Orue, A. B. ^{[2
]}

Alvarez, G. ^{[1
]}

Pastor, G. ^{[1
]}

Romera, M. ^{[1
]}

Montoya, F. ^{[1
]}

Li, Shujun ^{[3
]}

机构：

[1] CSIC, Inst Fis Aplicada, E-28006 Madrid, Spain

[2] CSIC, Area Cultura Cient, E-28006 Madrid, Spain

[3] Univ Konstanz, Fachbereich Informat & Informat Wissensch, D-78457 Constance, Germany

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 11期

关键词：

Chaos-based cryptography; Lorenz's attractor; Chua's attractor; Cryptanalysis; Parameter determination; Projective chaos synchronization; SECURE COMMUNICATION-SYSTEMS; PROJECTIVE SYNCHRONIZATION; NETWORK SECURITY; DIFFERENT ORDER; LORENZ SYSTEM; TIME-SERIES; CRYPTOSYSTEMS; ATTRACTORS; STATE; MODEL;

D O I：

10.1016/j.cnsns.2009.12.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper describes a method about how to determine parameters of some double-scroll chaotic systems, including the Lorenz system and the Chua's circuit, from one of its variables The geometric properties of the system are exploited firstly to reduce the parameter search space Then, a synchronization-based approach, with the help of the same geometric properties as coincidence criteria, is implemented to determine the parameter values with the wanted accuracy The method is not affected by a moderate amount of noise in the waveform. As an example of its effectiveness, the method is applied to cryptanalyze two two-channel chaotic cryptosystems, figuring out how the secret keys can be directly derived from the driving signal z(t) (C) 2009 Elsevier B V All rights reserved.

引用

页码：3471 / 3483

页数：13

共 37 条

[1] Security analysis of communication system based on the synchronization of different order chaotic systems [J].