On the solution of the unforced damped Duffing oscillator with no linear stiffness term
The authors prove that, for the damped unforced Duffing oscillator, there does not exist an exact analytic solution in terms of known tabulated analytic functions. At the end of this article, a new approximate analytic solution to the Duffing problem with weak damping is constructed.
nonlinear ordinary differential equations
scientific article; zbMATH DE number 1784455