A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis
Orue, AB, Alvarez, G, Pastor, G, Romera, M, Montoya, F and Li, SJ (2010) A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis Communications in Nonlinear Science and Numerical Simulation, 15 (11). 3471 - 3483. ISSN 1007-5704
CNSNS2010.pdf - Accepted Version
Available under License : See the attached licence file.
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).
|Additional Information:||NOTICE: this is the author’s version of a work that was accepted for publication in Communications in Nonlinear Science and Numerical Simulation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Communications in Nonlinear Science and Numerical Simulation, 15(11), November 2010, DOI 10.1016/j.cnsns.2009.12.017.|
|Uncontrolled Keywords:||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|
|Divisions:||Faculty of Engineering and Physical Sciences > Computing Science|
|Depositing User:||Symplectic Elements|
|Date Deposited:||16 May 2012 20:08|
|Last Modified:||23 Sep 2013 19:26|
Actions (login required)
Downloads per month over past year