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Smallest Chimeras Under Repulsive Interactions.

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Summary
This summary is machine-generated.

Repulsive interactions in superconducting Josephson junctions can surprisingly lead to complex chimera patterns. These patterns emerge from synchronized states through various asynchronous and chaotic dynamics.

Keywords:
Josephson junctionchimeralibration motionrepulsive couplingring of oscillatorsrotational motion

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Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Complex systems

Background:

  • Josephson junctions are key components in superconducting circuits.
  • Chimera states represent a unique form of partial synchronization in coupled oscillators.
  • Understanding emergent phenomena in coupled systems is crucial for developing advanced technologies.

Purpose of the Study:

  • To investigate the emergence of chimera patterns in a ring of three repulsively coupled superconducting Josephson junctions.
  • To explore the transition from complete synchrony to chimera states through varying repulsive interactions.
  • To characterize different types of chimera patterns and their underlying dynamics.

Main Methods:

  • Numerical simulations of three identical Josephson junctions arranged in a ring with repulsive interactions.
  • Analysis of oscillator dynamics, including periodic, chaotic, rotational, and librational motions.
  • Utilizing partial and global error functions to detect chimera patterns and a libration index for motion identification.
  • Mapping collective states in a parameter plane and using the master stability function to define synchrony boundaries.

Main Results:

  • Repulsive interactions initially lead to complete synchrony, followed by asynchronous states (periodic and chaotic).
  • Two distinct chimera patterns were observed: one in chaotic rotational motion and another in periodic states involving rotational and librational motion.
  • The second chimera pattern exhibited sensitivity to initial conditions, leading to state flipping.

Conclusions:

  • Repulsive coupling in Josephson junction systems can unexpectedly generate complex chimera states.
  • The study delineates a parameter space for synchrony, desynchronization, and chimera patterns in this system.
  • These findings contribute to the understanding of complex dynamics in coupled superconducting circuits.