ADEQUATE SOLUTIONS OF JERK OSCILLATORS CONTAINING VELOCITY TIMES ACCELERATION-SQUARED: HAQUE’S APPROACH WITH MICKENS’ ITERATION METHOD

Haque’s Approach with Mickens’ Iteration Method is used to find the exact analytic solution of nonlinear equation involving velocity times acceleration squared. A truncated Fourier series in different rhythms repetition steps. Our results are very close and our comparatively closer than others. method obtained around second-order angular frequency using Newton’s method. For some third-order (jerk) differential equations cubic nonlinearities equations; iteration determine analytical approximate periodic solution. numerical experiment general third-order, one-dimensional, autonomous, quadratic, nonlinearity has uncovered several algebraically simple shaking time-dependent that contain chaotic solutions.