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Mathematical Modelling of Chaotic Jerk Circuit and Its Application in Secure Communication System

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Book cover Advances in Chaos Theory and Intelligent Control

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 337))

Abstract

In chaos-based secure communication schemes, a message signal is modulated to the chaotic signal at transmitter and at receiver the masking signals regenerated and subtracted from the receiver signal. In order to show some interesting phenomena of three dimensional autonomous ordinary differential equations, the chaotic behavior as a function of a variable control parameter, has been studied. The initial study in this chapter is to analyze the eigenvalue structures, various attractors, bifurcation diagram, Lyapunov exponent spectrum, FFT analysis, Poincare maps, while the analysis of the synchronization in the case of bidirectional coupling between two identical generated chaotic systems, has been presented. Moreover, some appropriate comparisons are made to contrast some of the existing results. Finally, the effectiveness of the bidirectional coupling method scheme between two identical Jerk circuits in a secure communication system is presented in details.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya, Indonesia

    Aceng Sambas

  2. Department of Physics, Universitas Islam Negeri Sunan Gunung Djati Bandung, Bandung, Indonesia

    Mada Sanjaya WS

  3. Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Kuala Terengganu, Malaysia

    Mustafa Mamat

  4. School of Electrical Engineering and Informatics, Bandung Institute of Technology, Jalan Ganeca No 10, Bandung, Indonesia

    Rizki Putra Prastio

Authors
  1. Aceng Sambas
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  2. Mada Sanjaya WS
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  3. Mustafa Mamat
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  4. Rizki Putra Prastio
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Corresponding author

Correspondence to Aceng Sambas .

Editor information

Editors and Affiliations

  1. Benha University, Benha, Egypt

    Ahmad Taher Azar

  2. Chennai, India

    Sundarapandian Vaidyanathan

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Sambas, A., Sanjaya WS, M., Mamat, M., Putra Prastio, R. (2016). Mathematical Modelling of Chaotic Jerk Circuit and Its Application in Secure Communication System. In: Azar, A., Vaidyanathan, S. (eds) Advances in Chaos Theory and Intelligent Control. Studies in Fuzziness and Soft Computing, vol 337. Springer, Cham. https://doi.org/10.1007/978-3-319-30340-6_6

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  • DOI: https://doi.org/10.1007/978-3-319-30340-6_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30338-3

  • Online ISBN: 978-3-319-30340-6

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