**2.3 Applicability of memristor based oscillator circuits with control of thresholds in oscillator networks**

The pointed out features of two considered approaches to control MBOs predefine their exploitation in oscillator networks. The current inputs are more suitable for controlling the state of network elements by external signals. The voltage inputs with control of thresholds should be used to organize interaction of network elements with each other including synchronization mode of oscillators.

Then we will limit ourselves to the consideration of MBOs with voltage inputs and corresponding control of thresholds. Such an oscillator element can be considered as binary element with the binary input *vin* (**Figure 4**).

The current is positive and the memristor resistance decreases at the output signal *vout* ¼ }1}, until the resistance reaches the lower threshold *Rm* � *r* = *Rm* � *kvin=I*. At output signal "0" (*vout* ¼ }0}) the current through the memristor is negative, its resistance increases until it achieves the upper threshold *RM* � *r* = *RM* � *kvin=I* .

Thus, input state *vin* ¼ }1} slows down the exit from the state *vout* ¼ }1}, and accelerates the exit from the state *vout* ¼ }0}.

It can be mentioned that considered MBOs with voltage control of thresholds are well suitable for synchronization mode of coupled oscillators due to high sensitivity to external input and fast transient to synchronization steady state.

#### **Figure 4.**

*Binary MBO element (a) and hysteresis loop for MBO resistor (b) at phase plan taking into account threshold shift.*

*Functional Capabilities of Coupled Memristor-Based Reactance-Less Oscillators DOI: http://dx.doi.org/10.5772/intechopen.97808*
