A Chaotic System With Equilibria Located on the Rounded Square Loop and Its Circuit Implementation

Memristor‐Based Canonical Chua’s Circuit: Extreme Multistability in Voltage‐Current Domain and Its Controllability in Flux‐Charge Domain

“…It should be mentioned that just like the ideal flux/ voltage-controlled memristor-based chaotic circuits [4][5][6][7][8][9], the proposed memristor-based canonical Chua's circuit has a line equilibrium point with complicated stability distributions already depicted in Figures 2-4, whereas most of conventionally nonlinear dynamical systems with no equilibrium point [10], with only several determined equilibrium points [15][16][17][18][19][20][21], or with curves of equilibrium points [41][42][43] have relatively simple stability distributions with some divinable nonlinear dynamical behaviors.…”

A new three-dimensional chaotic system with a hidden attractor, circuit design and application in wireless mobile robot

“…The circuit in Figure 5 has been designed following a general approach based on operational amplifiers [26,27,28,29]. The variable x, y and z of the new chaotic system (1) are the voltage across the capacitor C 1 ,C 2 and C 3 .…”

Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping

“…Recently there has been an increasing effort in constructing new chaotic attractors with pre-designed types of equilibria [1][2][3][4][5][6][7][8][9][10][11][12]. These systems include dynamical systems with no equilibrium points [13][14][15][16][17][18][19][20][21], with only stable equilibria [22][23][24][25][26][27], with curves of equilibria [28][29][30], with surfaces of equilibria [8,9], and with non-hyperbolic equilibria [31,32].…”