This chapter focuses on the case where the common external force of some relaxation oscillators is a nonperiodic signal. The objective relaxation oscillator is regarded as an electronic firefly (EFF) circuit. By using the implemented EFF circuits, the synchronisation phenomena induced by the common external force is observed. Firstly, a case is considered where the external force is a periodic pulse signal. Then, the case where the external force is a nonperiodic pulse signal is investigated. The paper clarifies the relationship between the individual fundamental synchronisation range and the noise synchronisation range by the implementation measurements.

Chapter Contents:

• 6.1 Introduction
• 6.2 Relaxation oscillator with a time-variant threshold
• 6.2.1 Periodic fluctuation threshold
• 6.2.2 Period adjustment capability
• 6.3 The response to non-periodic external force
• 6.3.1 Without external force
• 6.3.2 Periodic external force
• 6.3.3 Uniform random period external force
• 6.4 Conclusions
• References

Inspec keywords: pulse circuits; hysteresis; relaxation oscillators; stochastic processes; synchronisation

Other keywords: master-slave synchronization; complete synchronization; hysteresis neural-type oscillators; relaxation oscillators; EFF circuits; electronic firefly circuit; nonperiodic signal; periodic pulse signal; stochastic synchronization

Subjects: Oscillators; Pulse circuits; Other topics in statistics