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

Abstract

By replacing a series resistor in active band pass filter (BPF) with an improved memristive diode bridge emulator, a third-order memristive BPF chaotic circuit is presented. The improved memristive diode bridge emulator without grounded limitation is equivalently achieved by a diode bridge cascaded with only one inductor, whose fingerprints of pinched hysteresis loop are examined by numerical simulations and hardware experiments. The memristive BPF chaotic circuit has only one zero unstable saddle point but causes complex dynamical behaviors including period, chaos, period doubling bifurcation, and coexisting bifurcation modes. Specially, it should be highly significant that two kinds of bifurcation routes are displayed under different initial conditions and the coexistence of three different topological attractors is found in a narrow parameter range. Moreover, hardware circuit using discrete components is fabricated and experimental measurements are performed, upon which the numerical simulations are validated. Notably, the proposed memristive BPF chaotic circuit is only third-order and has simple topological structure.

Novel 3-Scroll Chua’s Attractor with One Saddle-Focus and Two Stable Node-Foci

“…When the initial conditions (1, 0, 0) are assigned, the improved Chua's system exhibits a chaotic spiral attractor, as shown in Figure 6(a), while when the initial conditions (−1, 0, 1) and (1, 0, −1) are selected, respectively, the improved Chua's system displays two stable point attractors settling down the two symmetric nonzero equilibrium points P ± [29], as shown in Figure 6(b), where the trajectories from the initial states of (−1, 0, 1) are colored in blue and those from (1, 0, −1) are colored in red. The above results illustrate that just like the dynamical systems reported in [29][30][31][32][33][34][35], the improved Chua's system can present multistability.…”

A Novel Generalized Memristor Based on Three‐Phase Diode Bridge Rectifier

“…In recent years, the research of generalized memristor has aroused wide interest of the scholars. A class of diode bridge circuits has been analyzed because of the memristive characteristics [7][8][9][10][11][12][13][14]. A simple electronic circuit which only consists of four diodes and a second-order RLC filter was proved to have memory properties [7].…”

“…After that, a modified diode bridge circuit cascaded with a second-order filter containing an inductor and a capacitor was proposed and was proved to constitute a generalized memristor [11]. Recently, an improved memristive diode bridge circuit was put forward comprising four diodes and an inductor, which has a much simpler circuit realization [12,13]. On the basis of the fractional calculus theory, a fractionalorder capacitor-based diode bridge circuit was proposed, in which the fractional order capacitor is circuit implemented utilizing Oustaloup approximation technique [14].…”

Dynamic Behaviors and the Equivalent Realization of a Novel Fractional‐Order Memristor‐Based Chaotic Circuit

“…The fingerprint of the memristor is that the loci in the voltage-current plane exhibit a pinched hysteresis loop which always passes through the origin when driven by any periodic input voltage source or current source [12]. Based on the above statement, a class of diode bridge circuits can be described as generalized memristors because they have been proved to satisfy the fingerprint of a memristor [13][14][15][16][17][18][19]. It is proved that an elementary electronic circuit consisting of a full-wave rectifier and a second-order RLC filter has memory properties [13].…”

“…Replacing the second-order filter with a firstorder parallel RC filter or a series first-order RL filter, a newly generalized memristor is realized, which reduces to a nonlinear fundamental element [15][16][17]. Recently, an improved memristive diode bridge circuit was put forward comprising four diodes and an inductor, which has a much simpler circuit realization [18,19].…”