There are many synchronization phenomena in coupled oscillator arrays. There is a wave of a phase difference which is one of synchronization phenomena. The wave, which a phase difference between adjacent oscillators propagates, continuously exists. We call the wave a phase-inversion wave. The phase-inversion waves can be observed on a ladder and a cross constructed by van der Pol oscillators. In this section, the phase-inversion waves are introduced.

Chapter Contents:

• 8.1 Introduction
• 8.2 Circuit model
• 8.3 Phase-inversion waves
• 8.3.1 Basic synchronization phenomena
• 8.3.2 Sample of phase-inversion waves
• 8.3.3 Characteristics of the phase-inversion waves
• 8.3.4 Propagation velocity of phase-inversion waves
• 8.3.5 Mechanisms
• 8.3.5.1 Theoretical frequencies
• 8.3.5.2 Propagation mechanism on the ladder system and the ring system
• 8.3.5.3 Reflection mechanism between the phase-inversion waves on the ladder system and the ring system
• 8.3.5.4 Reflection mechanism at the edge on the ladder system
• 8.3.5.5 Disappearance mechanism between the phase-inversion waves on the ladder system and the ring system
• 8.4 Conclusion
• Acknowledgment
• References

Inspec keywords: wave propagation; synchronisation; relaxation oscillators

Other keywords: coupled oscillator arrays; Van der Pol oscillators; ladder; wave propagation; synchronization phenomena; phase difference; phase-inversion wave

Subjects: Oscillators