Synchronization of Dissipative Nose–Hoover Systems: Circuit Implementation

Abstract

The synchronization of dynamical systems has been extensively studied across various scientific disciplines, including secure communication, providing insights into the collective behavior of complex systems. This paper investigated the synchronization of diffusively coupled dissipative Nose-Hoover (DNH) systems analytically and experimentally. This system exhibits a variety of fascinating dynamical phenomena, including multistable or monostable chaotic solutions and attractive torus. The DNH circuit is implemented in OrCAD-PSpice, focusing on chaotic dynamics. The DNH system is thus said to be diffusively coupled by considering a passive resistor to link the corresponding states of two DNH circuits. The coupling scheme and strength (resistor value) under which two circuits can be synchronized are attained using the master stability function method and are then confirmed by computing the synchronization error. The correlation of coupled circuits' outputs (time evolutions) demonstrates complete synchronization, which is consistent with the analytical and experimental results