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Anti-difference quadratic compound synchronization of Lorenz, Rössler, modified finance, and Shimizu–Morioka chaotic systems

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Abstract

This manuscript proposes a novel technique of synchronization to synchronize four non-identical chaotic systems together. The newly introduced scheme is named as anti-difference quadratic compound synchronization. We have also used the multi-switching of signals to increase the complexity of the proposed scheme. Lorenz, Rössler, and the modified financial systems are taken as drive systems, and the modified Shimizu–Morioko system is taken as the response system to illustrate the obtained results. Lyapunov stability is used to design suitable controllers. Numerical simulations and graphs are presented using MATLAB to verify the theoretical results.

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Author notes

  1. D. Khattar and N. Agrawal authors contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Kirori Mal College, University of Delhi, New Delhi, Delhi, 110007, India

    Dinesh Khattar & Neha Agrawal

  2. Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, New Delhi, Delhi, 110017, India

    Govind Singh

Authors
  1. Dinesh Khattar
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  2. Neha Agrawal
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  3. Govind Singh
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Contributions

DK helped in conceptualization, investigation, validation, supervision, and writing—review and editing. NA helped in conceptualization, investigation, validation, methodology, formal analysis, and writing—review and editing. GS helped in conceptualization, investigation, validation, visualization, methodology, writing—review and editing, software, formal analysis, and writing—original draft.

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Correspondence to Govind Singh.

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Khattar, D., Agrawal, N. & Singh, G. Anti-difference quadratic compound synchronization of Lorenz, Rössler, modified finance, and Shimizu–Morioka chaotic systems. Indian J Phys 98, 1415–1423 (2024). https://doi.org/10.1007/s12648-023-02893-8

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  • DOI: https://doi.org/10.1007/s12648-023-02893-8

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