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Synchronization transitions in a hyperchaotic SQUID trimer.

J Shena1, N Lazarides2, J Hizanidis1

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Summary
This summary is machine-generated.

This study numerically investigates synchronization phenomena in three coupled Superconducting QUantum Interference Devices (SQUIDs). It identifies complete and intermittent chaos synchronization between two SQUIDs within the trimer.

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Area of Science:

  • Nonlinear Dynamics
  • Condensed Matter Physics
  • Chaos Theory

Background:

  • Superconducting QUantum Interference Devices (SQUIDs) are nonlinear superconducting oscillators.
  • SQUIDs and their arrays are crucial solid-state devices and platforms for studying complex dynamics.
  • The dynamic complexity of SQUID systems increases with the number of coupled devices.

Purpose of the Study:

  • To numerically investigate intermittent and complete synchronization phenomena in a SQUID trimer.
  • To explore chaotic and hyperchaotic behaviors in a realistic SQUID trimer model.
  • To characterize synchronization transitions in relation to chaos-hyperchaos dynamics.

Main Methods:

  • Numerical investigation of three identical, magnetically coupled SQUIDs in a linear configuration.
  • Utilizing a realistic SQUID model with experimentally accessible control parameters.
  • Analysis of complete Lyapunov spectrum and other measures to identify and characterize synchronization.

Main Results:

  • The SQUID trimer exhibits chaotic and hyperchaotic behavior across wide parameter ranges.
  • Complete chaos synchronization between two SQUIDs in the trimer was identified.
  • Intermittent chaos synchronization between two SQUIDs was also identified and characterized.

Conclusions:

  • The study successfully identified and characterized both complete and intermittent chaos synchronization in a SQUID trimer.
  • The transition from complete to intermittent synchronization appears linked to chaos-hyperchaos transitions.
  • Findings contribute to understanding complex dynamics in coupled nonlinear superconducting devices.