Complex dynamics of physical memristor ( )-based hyperchaotic system and application to PRNG and secure data transfer by equivalent circuit implementation

¹ MLR Institute of Technology - Hyderabad, Telangana, India
² School of Advanced Sciences, VIT-AP University - Amaravati, Andhra Pradesh, India

Received: 3 August 2025
Accepted: 13 February 2026

Abstract

This paper proposes a novel four-dimensional hyperchaotic system based on a TaO_x physical memristor, designed for real-time analog applications including secure communication and pseudo-random number generator (PRNG). The system exhibits a range of complex dynamical behaviors such as chaotic-hyperchaotic switching, multistability, offset boosting, and amplitude control. Notably, it generates spiking and bursting signal waveforms with negative-spike–like behaviour. To replicate this behaviour in a physical context, an equivalent analog circuit is proposed, capable of demonstrating similar dynamics in a hardware environment. This circuit is further utilized to construct a PRNG through quantization and XOR operations, resulting in a high-entropy byte stream. Additionally, the circuit is employed to showcase the potential of the proposed physical memristive hyperchaotic system for hardware-based secure communication. A text encryption process is demonstrated, highlighting the system's effectiveness in ensuring data security. This work presents a hardware-realizable alternative to software-based spiking models, offering an efficient solution for chaotic signal generation in the context of physical memristive neuromorphic computation.