FPGA-based Circuit Realization of Dynamics Editing in a Chaotic System

Abstract Multistability in chaotic systems is defined as the coexistence of multiple stable attractors within a system. Through the precise calibration of the system's initial conditions, transitions between disparate stable states can be facilitated. Dynamics editing is an emerging method in dynamics management that aims to introduce appropriate piecewise-linear functions to extract various attractors in a dynamical system and consolidate them into the same phase space. This paper explores the implementation of both one-dimensional and two-dimensional dynamics editing, with a focus on FPGA hardware technology. This approach shows a promising potential for the deployment of chaos-optimized particle swarm optimization in embedded systems.