Oscillations in Damped Driven Pendulum: A Chaotic System
نویسنده
چکیده
In this paper, we have discussed the solutions of a system of n differential equations as a continuous dynamical system. Then we have discussed the nature of oscillations of a damped driven pendulum. We have analyzed the nature of fixed and periodic points of a damped driven pendulum for certain ranges of parameters. We have proved that oscillations of the pendulum are chaotic for certain ranges of parameters through the period doubling phenomenon. For the analysis of the solutions, mathematical softwares like MATLAB and Phaser Scientific Software are used.
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