期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 23, 期 1, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127413300012
关键词
Memristor; memcapacitor; meminductor; dual; Chua's circuit; pinched hysteresis loop; synchronization; 2-terminal element
资金
- [FA 9550-10-1-0290]
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.
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