Generalized Memory Element and Chaotic Memory System

The concept of memory element or memory system is generalized to any device or system with memory effect in this paper. With the general definition of memory element, a new memory element model is proposed and its properties are studied. Based on the memory element, a simple chaotic memory system is constructed and its complex dynamics is depicted. These results verified by circuit experimental observations and PSIM simulations indicate that the proposed memory element has a pinched hysteresis loop characteristics for a periodic input, which depends on the initial state of memory element, and the amplitude and frequency of the applied input; the proposed chaotic memory system presents complex dynamics depending on system parameters and the initial state of memory element.

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