A complex-variable disturbed laser with application to hidden multi-scroll attractor generation

As a semiconductor light source, laser is highly susceptible to perturbations from external electric-field influences. Complex-variable semiconductor laser, which is a crucial component of contemporary optoelectronics, has rich dynamical behaviors under external disturbances. In this paper, hidden multi-scroll chaotic attractors in a complex-variable semiconductor laser diode under memristive electric-field are delved. The introduction of memristive electric-field makes equilibrium point disappear, which results in hidden attractor that cannot be characterized by local property of equilibrium point. Employing Hamilton energy analysis, the state change and generation mechanism of multi-scroll attractors are examined. Flexible switching of the memristive initial value achieves the heterogeneous coexisting dynamics with controllable offset number, which is a bifurcated control scheme. A 3-D rotation control scheme is designed for non-bifurcated control of this memristive laser. Due to inherent high complexity and intricate topological structure, a multi-scroll chaotic attractor is served to design encryption scheme to encrypt images with different sizes.