DUALITY OF MEMRISTOR CIRCUITS

作者：Itoh Makoto^*; Chua Leon O

来源：International Journal of Bifurcation and Chaos, 2013, 23(1): 1330001.

DOI：10.1142/S0218127413300012

• Memristor
• memcapacitor
• meminductor
• dual
• Chua's circuit
• pinched hysteresis loop
• synchronization
• 2-terminal element

In this paper, we show that the dynamics of any memristor circuits can be simulated by a corresponding "dual" nonlinear RLC circuit where the memristor is substituted by a nonlinear resistor. They are in one-to-one correspondence, that is, they are duals of each other. We also propose a method for synchronizing these dual dynamic nonlinear circuits. We next define memory elements which can be characterized by charge and flux. The memory-element circuits can also be simulated by their corresponding dual nonlinear RLC circuits. We then define 2-terminal elements which are characterized by complementary pair of signals, and study them from the view point of one-to-one correspondence. We finally show an example of 2-terminal elements such that the terminal voltage and current are identical, and their time-derivatives of any order are also identical, however, their time-integrals are different. That is, these 2-terminal elements are in one-to-one correspondence except for the time-integral signals.

• 出版日期2013-1