Non Linear Oscillator Systems and Solving Techniques
نویسندگان
چکیده
AbstractThe paper involves thorough study of non-linear vibratory oscillators and numerical methodology to analyse and resolute the non-linear dynamical world. The study involves the analysis of non-linear oscillators like the Van der Pol Oscillator and Duffing Oscillator. Application of regular perturbation method in the oscillator is also demonstrated. The equilibrium and stability analysis of the oscillators with graphical representation is simulated through XPP-AUT and MATLAB. The graphical and mathematical depiction of damping with altering parameters in oscillators’ equations is also shown. Saddle points, centers and equilibrium points of consequent curves are depicted in scale. Apart from the oscillators, implementation of “Method of Multiple Scales” and “Method of Averaging” in non-linear dynamical equations is also rendered numerically in the study with the conclusion that the “Method of Multiple Scales” produces better results than the “Method of Averaging”.
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