Electronic circuits manifesting hyperbolic chaos and their simulation with software package Multisim

TL;DR

This paper demonstrates the simulation of electronic circuits with hyperbolic chaotic attractors using NI Multisim, highlighting their potential for secure communication and cryptography applications.

Contribution

It introduces a method for simulating hyperbolic chaos in electronic circuits with Multisim, aiding in the development of stable chaotic devices.

Findings

Successful simulation of hyperbolic chaotic attractors

Potential applications in secure communication systems

Educational value for nonlinear dynamics training

Abstract

We consider several electronic circuits, which represent dynamical systems with hyperbolic chaotic attractors of Smale-Williams type, and demonstrate results of their simulation using the software package NI Multisim 10. The developed approach is useful as an intermediate step of constructing real electronic devices manifesting structurally stable hyperbolic chaos applicable e.g. in systems of secure communication, noise radar, for cryptographic systems and random number generators. This is also of methodological interest for training students who specialize in radio-physics and nonlinear dynamics in the design and analysis of systems with complex dynamics using examples close to practical applications.