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Subject: search.filters.subject.Chaotic system

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    Finite-Time Integral Backstepping Nonsingular Terminal Sliding Mode Control to Synchronize a New Six-Term Chaotic System and Its Circuit Implementation
    (2023-01-01)
    Wongvanich, Napasool
    ;
    Roongmuanpha, Natchanai
    ;
    Tangsrirat, Worapong
    This work presents the finite-time synchronization of a new six-term chaotic system with only stable equilibria and its circuitry implementation. The chaotic system is designed in such a way that its complex dynamical behavior, including hidden attractors, can be adjusted through only one parameter, whilst allowing transformation to chaotic flows via invariant transformations. A finite-time chaotic synchronizer is designed via a nonsingular terminal integral backstepping sliding mode controller, with reduced theoretical finite-time convergence, and a modified sliding surface, to accommodate analog circuitry implementations. A comparison between the proposed controller against conventional integral backstepping sliding mode controller showed that active synchronization is achieved in finite time. Finally, analog circuitry implementation for both open-loop and closed-loop configurations is realized via commercially available active components such as LF357 and AD633. The descriptive circuitry equations for both configurations are designed to mimic the actual governing control equations for simplicity and ease of circuit troubleshooting. The workability of both configurations was tested in OrCAD PSpice. Results show that the master and slave systems were found to be in synchronization with less than 0.95% maximum errors.
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    A four-scroll chaotic generator based on two nonlinear functions and its telecommunications cryptography application
    (2022-12-01)
    Karawanich, Khunanon
    ;
    Kumngern, Montree
    ;
    Chimnoy, Jirat
    ;
    Prommee, Pipat
    This paper describes a new chaotic jerk system based on two different nonlinear functions. The modified signum and rectangular functions are incorporated into the system at different positions. The system can generate double-scroll and new four-scroll chaotic attractors by adjusting only one coefficient (k). The chaotic behaviors of the proposed system are investigated by the Lyapunov spectrum and period distribution of state variable × of the bifurcations. The complexity of the proposed chaotic system is computed by the Kaplan-Yorke dimension of 2.30. The coexisting attractors and basin of attraction are also included to verify the system's dynamic to the initial conditions. The PCB prototype's commercially available OPAMP and passive components are realized to confirm the numerical studies. The experimental results and the numerical results are agreeable in signals and attractors. The chaotic masking method is applied for encrypting the data for secure communication. The efficient encrypted signal can be obtained, and the decrypted data can be correctly received after successful synchronization.
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    Image encryption based on chaotic map and dynamic S-box
    (2013-12-01)
    Hung, Pham Anh
    ;
    Klomkarn, Kitdakorn
    ;
    Sooraksa, Pitikhate
    Dynamic substitution box (S-box) constructed from chaotic map is known as the secure improvement of classic S-box. But the general property '1 to 1' mapping of S-box makes the substitution not flexible. This paper proposes new method for image encryption. We use the key matrix randomization concept to apply on dynamic S-box so that S-box becomes '1 to n' mapping and complexity. First, Chaotic NCA map is applied to generate dynamic S-box which is used for substitution. During substitution phase for each image's value, we apply chaotic Arnold cat map combining chaotic Chen system to shuffle the positions of S-box. After that chaotic Baker map which takes parameter sequence from Gauss map is chosen to perform permutation phase. The experiments show that the secure property of this method gets high efficient from attacks. © 2013 IEEE.
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    Extended Baker map using Scan patterns for image encryption
    (2013-01-01)
    Hung, Pham Anh
    ;
    Sooraksa, Pitikhate
    ;
    Klomkarn, Kitdakorn
    In this paper, an improvement on free-size image encryption scheme using Baker map combining Scan patterns is proposed. The generalized discrete chaotic Baker map uses sequences of parameters generated by chaotic Gauss map to divide image matrix into boxes. Scrambling method is done by using Scan patterns in each boxes of chaotic Baker map. After scrambling method, chaotic 3-D Chen system is selected to do the pixel transformation. Through the experiments, the security of proposed scheme is tested by introducing keys analysis, entropy analysis, statistical analysis, and processing time so that the scheme achieves high encryption efficiency © 2013 IEEE.