Hyperchaos in a series-connected memcapacitor system

Abstract

This paper introduces a novel six-dimensional (6D) series memcapacitor-based hyperchaotic system that integrates modeling, circuit realization, and digital emulation within a unified framework. By coupling two nonlinear memcapacitors with cubic–quintic charge–voltage characteristics, the system exhibits strong memory-dependent interactions that generate multistability, coexistence of attractors, and high-dimensional hyperchaos. The mathematical model is implemented using UA741CD operational amplifiers and AD633 analog multipliers, with experimental verification confirming excellent agreement between analog oscilloscope measurements, numerical simulations and Arduino-based digital emulation. Dynamic analysis reveals complex phase portraits, broadband spectra, and positive Lyapunov exponents, validating the syhyperchaotic nature of the system. The results establish a robust and physically realizable platform for exploring memory-driven nonlinear dynamics. The broadband, high-dimensional chaotic signals produced are promising for secure communications, random number generation, and neuromorphic computing. This work expands the taxonomy of mem-element oscillators and provides new insight into the design of tunable, high-performance, memory-enhanced chaotic circuits.