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Analytical studies on the dynamics of higher-dimensional nonlinear circuit systems

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Abstract

Explicit analytical solutions of higher-dimensional chaotic and hyperchaotic systems are areas of research to be much explored. Till now, the dynamics of higher-dimensional systems and the synchronisation dynamics of coupled higher-dimensional systems have not been studied analytically. In the present work, explicit analytical solutions are developed for the dynamical behaviours observed in third-order and fourth-order nonlinear dissipative systems and also for the coupled dynamics of these systems. The Chua’s circuit and the modified canonical Chua’s circuit are studied analytically in the present work. The analytical results explaining the underlying important features of these systems are validated through experimental results.

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Authors and Affiliations

  1. Department of Physics, Alagappa Chettiar Government College of Engineering and Technology, Karaikudi, 630 003, India

    G Sivaganesh

  2. Department of Physics, Nehru Memorial College (Affiliated to Bharathidasan University, Tiruchirapalli 620 024, India), Puthanampatti, Tiruchirapalli, 621 007, India

    K Srinivasan

  3. Department of Physics, St. John’s College (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli 627 012, India), Palayamkottai, 627 002, India

    A Arulgnanam

Authors
  1. G Sivaganesh
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  2. K Srinivasan
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  3. A Arulgnanam
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Correspondence to A Arulgnanam.

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Sivaganesh, G., Srinivasan, K. & Arulgnanam, A. Analytical studies on the dynamics of higher-dimensional nonlinear circuit systems. Pramana - J Phys 96, 185 (2022). https://doi.org/10.1007/s12043-022-02428-6

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  • DOI: https://doi.org/10.1007/s12043-022-02428-6

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