Simulation and Visualization of Chaos in a Driven Nonlinear Pendulum: An Aid to Introducing Chaotic Systems in Physics

TL;DR

This paper demonstrates the simulation and visualization of chaos in a driven nonlinear pendulum using Python, providing an educational tool to introduce chaotic systems and their hypersensitivity to initial conditions.

Contribution

It presents a Python-based simulation and visualization method for chaotic behavior in a driven nonlinear pendulum, aiding in teaching chaotic systems in physics.

Findings

Visualized chaos highlights hypersensitivity to initial conditions

Python simulation effectively demonstrates chaotic dynamics

Educational tool for introducing chaos in physics

Abstract

The presence of physical systems whose characteristics change in a seemingly erratic manner gives rise to the study of chaotic systems. The characteristics of these systems are due to their hypersensitivity to changes in initial conditions. In order to understand chaotic systems, some sort of simulation and visualization is pertinent. Consequently, in this work, we have simulated and graphically visualized chaos in a driven nonlinear pendulum as a means of introducing chaotic systems. The visualized results obtained which highlight the hypersensitivity of the pendulum to initial conditions can be used to effectively introduce the physics of chaotic system. The simulation and visualization programme is written in Python codes.