TOOLS FOR DETECTING CHAOS

Year 2005, Volume: 9 Issue: 1, 60 - 66, 01.06.2005

Ahmet Özer , Erhan Akın

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

Keywords

chaos

References

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