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… 
View on PubMed
arxiv.org
66 Citations
Background Citations
7
Methods Citations
5
Results Citations
1

Figures from this paper

66 Citations

Chimera states in coupled Kuramoto oscillators with inertia.

The dynamics of two symmetrically coupled populations of rotators is studied for different values of the inertia, giving rise to stationary chaotic solutions with broken symmetry contrary to what observed for chaotic chimeras on a ring geometry.

Solitary states for coupled oscillators with inertia.

System parameter regions are presented for the existence of solitary states in the case of local, non-local, and global network couplings and it is shown that they preserve in both thermodynamic and conservative limits.

The smallest chimera state for coupled pendula

It is shown that the smallest chimera state, characterized by the coexistence of two synchronized and one incoherent oscillator, can be observed in simple experiments with mechanical oscillators, which are controlled by elementary dynamical equations derived from Newton’s laws.

Chaos in Kuramoto oscillator networks.

It is shown that simple networks of two populations with a generic coupling scheme, where both coupling strengths and phase lags between and within populations are distinct, can exhibit chaotic dynamics as conjectured by Ott and Antonsen.

Intermittent route to generalized synchronization in bidirectionally coupled chaotic oscillators.

To separate the epochs of the synchronous and asynchronous motion in time series of mutually coupled chaotic oscillators, a method based on the local Lyapunov exponent calculation has been proposed.

Synchronization of Chimera States in Coupled Networks of Nonlinear Chaotic Oscillators

Effects of synchronization of chimera states are studied numerically in a two-layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each layer represents a ring of nonlocally…

Experimental multistable states for small network of coupled pendula

It is shown that similar multistable states demonstrating partial frequency synchronization, can be observed in simple experiments with identical mechanical oscillators, namely pendula, suggesting that multistables chimera-like states are observable in small networks relevant to various real-world systems.

Transient chaos generates small chimeras

While the chimera states themselves are usually believed to be chaotic transients, the involvement of chaos behind their self-organization is not properly distinguished or studied. In this work, we…

Basins of attraction for chimera states

Chimera states—curious symmetry-broken states in systems of identical coupled oscillators—typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple…

Blinking chimeras in globally coupled rotators.

This work describes a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia) characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new reshuffled configuration.
...

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
...