A Memristive Chaotic System: Attractor Self-Reproducing, Amplitude Control and Offset Boosting

Two flux-controlled memristors sharing the same internal variable and the same resistor function are introduced into the simplest variable boostable system VB5 for constructing the 3-D memristive chaotic oscillator. The offset booster is well inherited from the original chaotic system for attractor boosting, which makes the corresponding oscillation controlled on different positions by a single offset constant. Meanwhile, the periodic resistor function makes attractors self-reproducing and produces infinitely many attractors under different initial conditions. Furthermore, the property of rotational symmetry implies an extra partial amplitude control. The amplitude of the system variables
$x$
and
$z$
signal can be modified by a single non-bifurcation parameter. Analog circuit simulation based on Pspice shows agreement with the theoretical and numerical analysis.