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Complexity in synchronized and non-synchronized states: A comparative analysis and application

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Abstract

This analysis shows the dynamics of a hyperchaotic system changes from its original state to a synchronized state with nonlinear controller. The decreasing complexity of the coupled systems also quantifies the loss of information from its original state to the synchronized state. We proposed and modified a chaos synchronization based secure communication scheme to implement in case of non synchronization. The scheme is designed and illustrated using examples and simulations. Security analysis of the proposed scheme is also investigated. This analysis gives a new direction on chaos based cryptography in case of the coupled systems completely in non synchronized state.

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Authors and Affiliations

  1. Basic Sciences and Humanities Department, Calcutta Institute of Engineering and Management, Kolkata, India

    Sanjay K. Palit

  2. School of Foundation Studies National Defence University of Malaysia, Kuala Lumpur, Malaysia

    Nur Aisyah Abdul Fataf

  3. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Malaysia

    Nur Aisyah Abdul Fataf, Mohd Rushdan Md Said & Santo Banerjee

  4. Malaysia-Italy Centre of Excellence for Mathematical Science, Universiti Putra Malaysia, Serdang, Malaysia

    Mohd Rushdan Md Said & Santo Banerjee

  5. Department of Mathematics, Sivanath Sastri College, Kolkata, India

    Sayan Mukherjee

Authors
  1. Sanjay K. Palit
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  2. Nur Aisyah Abdul Fataf
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  3. Mohd Rushdan Md Said
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  4. Sayan Mukherjee
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  5. Santo Banerjee
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Correspondence to Santo Banerjee.

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Palit, S.K., Fataf, N.A.A., Md Said, M.R. et al. Complexity in synchronized and non-synchronized states: A comparative analysis and application. Eur. Phys. J. Spec. Top. 226, 2219–2234 (2017). https://doi.org/10.1140/epjst/e2016-60399-8

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  • DOI: https://doi.org/10.1140/epjst/e2016-60399-8

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