On coupled oscillators networks-For the cellular neural network

The authors propose two types of coupled oscillator networks and investigate their steady states. One network has a two-dimensional honeycomb structure. The other network has a two-dimensional lattice structure. In the honeycomb circuit, three adjacent oscillators are coupled by one coupling resistor and it is considered that the voltages of three oscillators around a coupling resistor result in three-phase synchronization. In the lattice circuit, four-oscillators are coupled by one coupling resistor and it is considered that the voltages of four oscillators around a coupling resistor result in four-phase synchronization. As a result, the networks are expected to generate various synchronization patterns. In the networks each oscillator is connected to only its adjacent oscillators and various patterns are generated according to the initial condition. Therefore, the network is expected to be utilized as a cellular neural network in the future.<>