A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis
| Autor: | Gonzalo Alvarez, Gerardo Pastor, A. B. Orue, Fausto Montoya, Shujun Li, Miguel Romera |
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| Rok vydání: | 2010 |
| Předmět: |
Control of chaos
Numerical Analysis Chaos-based cryptography Noise (signal processing) Applied Mathematics Synchronization of chaos Chaotic Lorenz s attractor Projective chaos synchronization Lorenz system Chua s attractor Synchronization law.invention Cryptanalysis Parameter determination Control theory law Modeling and Simulation Waveform ddc:004 Algorithm Mathematics |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 15:3471-3483 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2009.12.017 |
| Popis: | 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). |
| Databáze: | OpenAIRE |
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