TOOLS FOR DETECTING CHAOS

Abstract

I n this study, useful tools for detecting chaos are explained. To observe the state variabtes (time series}, the phase portrait, the Poincare map, the power spectrum, the Lyapunov exponents and bifurcation diagram are used to detect chaos in dynamical systems. In this paper, the driven pendulum was choosen indicating chaos with the help of these tools. The existence of chaos in driven pendulum was shown with all methods. Simulation results obtained from all tools agree with each other. Also, control of chaos in driven pendulum was realized in this study