Exact Solution for Nonlinear Oscillators with Coordinate-Dependent Mass
Keywords:Homotopoty Perturbation, Equlibirum fixed pion, LyapunovÃ function, stability stconsarvative, potiential function positive deÃ–nite matrix, singular value, spectral norm, matrix converge
AbstractIn this work, we aim to obtain an exact solution for a nonlinear oscillator with coordinate position- dependent mass. The equation of motion of the nonlinear oscillator under investigation becomes exact after making reduction of order. The obtained solution was expressed in terms of position and time. Initial conditions were applied, in addition to modiOed initial condition. Finally, Oxed points where studied with their stability, and some plots desribing the system where presented.
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