Robust Chaos Generation on the Basis of Symmetry Violations in Attractors

TL;DR

This paper introduces a novel method for generating robust chaos by exploiting symmetry violations in attractors, utilizing a search algorithm and finite-difference equations to produce stable chaotic systems.

Contribution

It presents a new approach that combines symmetry violation detection with finite-difference systems to reliably generate robust chaos.

Findings

The method successfully generates robust chaos in simulations.

The approach ensures stability of chaos against perturbations.

Simulation results demonstrate effectiveness of the proposed technique.

Abstract

We present a method for generating robust chaos. It is based on the search algorithm weak symmetry violation in the reconstructed attractor. On its basis the smooth functions in the form of a system of finite-difference equations. To ensure robust chaos generator introduced piecewise continuous member. The simulation results are given in the report.