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Coupled oscillator networks with frustration

Coupled oscillator networks with frustration

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Coupled oscillatory circuits provide simple models for describing high-dimensional nonlinear phenomena occurring in our everyday world. We often feel that the coupled oscillatory networks behave like human, especially, when we carry out circuit experiments. In this chapter, we pay our attention to frustration influence for synchronization phenomena of coupled oscillatory networks. We consider two types of coupled oscillatory networks with frustration. First one is that the oscillator in a ring-coupled van der Pol oscillator has different frequency to the others. Second one is that the coupling structure affects the synchronization state in coupled polygonal oscillatory networks.

Chapter Contents:

  • 9.1 Introduction
  • 9.2 Frustration in ring van der Pol oscillators with different frequencies
  • 9.2.1 Circuit model
  • 9.2.2 Synchronization phenomena
  • 9.3 Frustration in coupled polygonal oscillatory networks
  • 9.3.1 Weakly coupled oscillators
  • 9.3.1.1 Synchronization phenomena
  • 9.3.1.2 Power consumption
  • 9.3.1.3 Theoretical analysis
  • 9.3.2 Strongly coupled oscillators
  • 9.3.2.1 Circuit model
  • 9.3.2.2 Synchronization phenomena
  • 9.4 Conclusions
  • References

Inspec keywords: relaxation oscillators; synchronisation

Other keywords: coupled oscillatory circuits; high-dimensional nonlinear phenomena; synchronization phenomena; coupled oscillator networks; coupling structure; ring-coupled Van der Pol oscillator; coupled polygonal oscillatory networks

Subjects: Oscillators

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