Adaptive Synchronization of Chaotic Systems and Its Uses in Cryptanalysis

Liu, Ying; Tang, Wallace K. S.

doi:10.1007/978-3-642-04227-0_10

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Designing the Auxiliary Functions μ I1

Introduction1

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Cited by 2 publications

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“…The use of CLE for the justification of synchronization was firstly used in [31,32]. Here, we take the Type II design shown in (26) as an example for illustration. Figure 2 depicts the largest CLE for different feedback gains k i while the stiffness constants are the same as the case of Fig.…”

Section: Designing the Auxiliary Functions μ Imentioning

confidence: 99%

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Modified dynamic minimization algorithm for parameter estimation of chaotic system from a time series

Liu

Tang

2011

Nonlinear Dyn

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This paper proposes a modified dynamic minimization algorithm for parameter estimation of chaotic systems, based on a scalar time series. Comparing with the previous design proposed by Maybhate and Amritkar (Phys. Rev. E 59:284-293, 1999), two important new design concepts related to the feedback control and the auxiliary functions for parametric updating laws are introduced. Two different types of estimates can then be derived, and numerical simulations confirm their superior performances to the designs based on the original dynamic minimization algorithm or other existing approaches. Furthermore, a circuit experiment is carried out to demonstrate the robustness and practicability of the proposed design.

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Section: Designing the Auxiliary Functions μ Imentioning

confidence: 99%

“…Previous attempts for adaptive synchronization of typical chaotic Lorenz system [23,26] have demonstrated the feasibility of this approach. Here, a systematic design methodology is presented.…”

Section: Introductionmentioning

confidence: 97%