Generalized Memory Element and Chaotic Memory System

Abstract

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.

An Improved Memristive Diode Bridge‐Based Band Pass Filter Chaotic Circuit

“…It is worth noting that the stability depends on the memristor initial condition in a memristive dynamical circuit, leading to the occurrence of coexisting multiple attractors [9,13]. The coexistence of different kinds of attractors, called multistability, reveals a rich diversity of stable states in nonlinear dynamical systems [12,[24][25][26][27][28][29][30][31][32] and makes the system offer great flexibility, which can be used for image processing or taken as an additional source of randomness used for many information engineering applications [32][33][34][35][36][37]. Therefore, it is very attractive to seek for a simple memristive chaotic circuit that has the striking dynamical behavior of coexisting multiple attractors.…”

Dynamical Behavior of a 3D Jerk System with a Generalized Memristive Device

“…By extending the definition of the memristive system [2,[19][20][21], we introduce a generalized memristive device, depicted by the following relation:…”

“…Figure 1 From the simulation results in Figures 1 and 2, it can be seen that the memory device is not passive and behaves as a linear negative commutator in the limit of infinite frequency. Besides, there exist at most two values of the output r t for any designated input y t [20]. 2 Complexity…”

Creation and circuit implementation of two‐to‐eight–wing chaotic attractors using a 3D memristor‐based system

“…[15][16][17][18][19][20][21][22][23][24][25][26] In 1993, Stone and Miranda observed first multiwing chaotic attractor from a proto-Lorenz system. 4-12 Since the mathematical model involving chaos was first suggested by Lorenz 13 in 1963 and the term chaos was first used by Li and Yorke 14 in 1975, the design of new chaotic systems with complex topological structures are attracting more and more interest in the research.…”

“…[4][5][6][7][8][9][10][11][12] Since the mathematical model involving chaos was first suggested by Lorenz 13 in 1963 and the term chaos was first used by Li and Yorke 14 in 1975, the design of new chaotic systems with complex topological structures are attracting more and more interest in the research. [15][16][17][18][19][20][21][22][23][24][25][26] In 1993, Stone and Miranda observed first multiwing chaotic attractor from a proto-Lorenz system. 27 Since then, people has found that a wide variety of memristor-based systems can exhibit the complicated dynamics, particularly in birth of multiwing attractors.…”