Intermittent chaotic chimeras for coupled rotators.

@article{Olmi2015IntermittentCC,
  title={Intermittent chaotic chimeras for coupled rotators.},
  author={Simona Olmi and Erik Andreas Martens and Shashi Thutupalli and Alessandro Torcini},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={92 3},
  pages={
          030901
        }
}
Two symmetrically coupled populations of N oscillators with inertia m display chaotic solutions with broken symmetry similar to experimental observations with mechanical pendulums. In particular, we report evidence of intermittent chaotic chimeras, where one population is synchronized and the other jumps erratically between laminar and turbulent phases. These states have finite lifetimes diverging as a power law with N and m. Lyapunov analyses reveal chaotic properties in quantitative agreement… 

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References

SHOWING 1-10 OF 64 REFERENCES

Physics of Long-Range Interacting Systems

PART I: STATIC AND EQUILIBRIUM PROPERTIES PART II: DYNAMICAL PROPERTIES PART III: APPLICATIONS

Proc

  • Natl. Acad. Sci. 110, 10563
  • 2013

Chaos 21

  • 013112
  • 2011

AN AMERICAN JOURNAL OF PHYSICS.

Circuits and systems

  • D. Munson
  • Computer Science
    Proceedings of the IEEE
  • 1982

Nonlinear Phen

  • Complex Syst. 5, 380
  • 2002

Phys. Rev. E

  • Phys. Rev. E
  • 2011

Phys. Rev. E

  • Phys. Rev. E
  • 2010

Phys. Rev. E

  • Phys. Rev. E
  • 2011

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 2011
...