<p>The dynamics of coupled oscillators are strongly influenced by asymmetries and inhomogeneities. Synchronization stability is disrupted by the highly complex, chaotic signals produced by these systems. In this paper, synchronization and synchronization stability among three non-identical, coupled superconducting quantum interference devices (SQUIDs) under the influence of an alternating magnetic field are investigated numerically. The impact of variations in the system's geometric structural coefficient on synchronization metrics such as Euclidean distance, correlation coefficients, Lyapunov exponents, and Kaplan-York dimension has been investigated. The influence of geometric variations in the SQUID array on the system's dynamic behavior has been examined. We identified and characterized complete and intermittent chaos synchronization between two SQUIDs within the trimer, employing the system's complete Lyapunov spectrum and suitable measures.</p>

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Stability of synchronization in coupled asymmetric RF-SQUIDs

  • A. Malekifar,
  • H. Pahlavani,
  • S. M. Fazeli

摘要

The dynamics of coupled oscillators are strongly influenced by asymmetries and inhomogeneities. Synchronization stability is disrupted by the highly complex, chaotic signals produced by these systems. In this paper, synchronization and synchronization stability among three non-identical, coupled superconducting quantum interference devices (SQUIDs) under the influence of an alternating magnetic field are investigated numerically. The impact of variations in the system's geometric structural coefficient on synchronization metrics such as Euclidean distance, correlation coefficients, Lyapunov exponents, and Kaplan-York dimension has been investigated. The influence of geometric variations in the SQUID array on the system's dynamic behavior has been examined. We identified and characterized complete and intermittent chaos synchronization between two SQUIDs within the trimer, employing the system's complete Lyapunov spectrum and suitable measures.