A synapse system is provided which includes three transistors and a resistance-switching element arranged between two neurons. The resistance-switching element has a resistance value and it is arranged between two neurons. A first transistor is connected between the resistance-switching element and one of the neurons. A second transistor and a third transistor are arranged between the two neurons, and are connected in series which interconnects with the gate of the first transistor. A first input signal is transmitted from one of the neurons to the other neuron through the first transistor. A second input signal is transmitted from one of the neurons to the other neuron through the second transistor and the third transistor. The resistance value of the resistance-switching element is changed based on the time difference between the first input signal and the second input signal.