Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua’s circuit

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

“…In this paper, by replacing a series resistor with the proposed memristive diode bridge emulator, a third-order memristive BPF circuit is proposed, as shown in Figure 1(b). Therefore, the proposed memristive chaotic circuit is much simpler and more intuitive in practical realization than other memristive chaotic circuits reported in [13][14][15][16].…”

“…Due to the unique nonlinear characteristics of memristors [1], an explosive growth study of memristor based circuits has been boosted up in the past years [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Unfortunately, induced by technical handicaps in fabricating nanoscale memristor, the commercial memristor is not expected to be available in the near future.…”

“…Thus, various kinds of physically implementable equivalent circuits which can manifest the three fingerprints of memristors [17] have attracted much attention [2,[6][7][8][9][10][11][12][13][14][15][16][17][18]. Popularly, the circuits implemented by operational amplifiers and analog multipliers [7][8][9][10][11][12] as well as the circuits consisting of diode bridge cascaded with RC [13][14][15], LC [16], and RLC [18] filters have been used for experimental measurements in memristor based circuits. The most significant feature of the memristive diode bridge emulators is ungrounded limitation, which makes it as a serial expandable and flexible element in designing memristor based circuit [19].…”

“…Numerous memristive dynamical circuits have been reported by introducing memristor into classical linear or nonlinear dynamical circuits [4,5,9,13,14,16,[20][21][22][23], from which complex dynamical behaviors, such as chaotic behaviors [4,5,20,21], coexisting multiple attractors [9,13], selfexcited and hidden attractors [14,22,23], and chaotic and periodic bursting [16], have been revealed and analyzed by theoretical analyses, numerical simulations, and experimental measurements. 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].…”

A Memristor-Based Complex Lorenz System and Its Modified Projective Synchronization

“…By replacing Chua's diodes with memristors, adding memristors to existing nonlinear systems, and designing new systems with memristors, some new chaotic and hyperchaotic systems have been constructed, such as a memristor-based Chua's circuit [1][2][3][4][5][6], memristor-based van der Pol oscillator [7], memristor-based Lorenz system [8][9][10], memristor-based Chen system [11], memristor-based Lü system [12], etc. Theoretical analyses, numerical simulations and circuit experiments consistently indicate that such memristor-based systems can exhibit complex dynamical behaviours including various bifurcation [1][2][3][4][5][6][7][8][9][10][11][12], chaos [1][2][3][4][5][6][7][8][9][10][11][12], hyperchaos [12][13][14], coexistence of attractors [15], transient dynamical behaviors [16], and initial state dependent dynamical behaviors [17]. Moreover, several fractional-order memristor-based systems and their dynamical behaviors are presented in [9,…”