Circuit realization and application of a chaotic system with hidden attractor, controlled spike discharge and offset boosting

This paper presents a novel four-dimensional chaotic system that is unique in that it exhibits a variety of striking nonlinear dynamical phenomena despite the absence of equilibrium. Computationally, the system is found to have multiple coexisting and hidden attractors and exhibits quasi-periodic, intermittent chaotic, and transient chaotic phenomena as the parameter dynamics change. Within appropriate parameter ranges, the system exhibits rare phenomena such as multiplicity, a controlled number of spike discharges without external excitation, as well as paranoid enhancement triggered by amplitude control, burst oscillations, and a controlled number of multivortex phenomena. These findings have important applications in areas such as neuron-like and voltage-control engineering. Notably, the integration of multiple important nonlinear dynamical behaviors into a system with a hidden attractor, whose realistic validity is achieved through analog simulations and hardware circuits, has rarely been reported in the literature in the past. In addition, the successful application of the chaotic system to image encryption with high confidentiality to meet the requirements of secure communication brings great potential for innovation in the field of nonlinear dynamics and chaotic secure communication, as well as new possibilities for engineering applications in related fields.