Title: Periodic solution for strongly nonlinear oscillators by He's new amplitude-frequency relationship,
Abstract: This paper applies He's new amplitude-frequency relationship recently
established by Ji-Huan He (Int J Appl Comput Math 3 1557-1560, 2017) to study
periodic solutions of strongly nonlinear systems with odd nonlinearities. Some
examples are given to illustrate the effectiveness, ease and convenience of the
method. In general, the results are valid for small as well as large
oscillation amplitude. The method can be easily extended to other nonlinear
systems with odd nonlinearities and can therefore be found widely applicable in
engineering and other science. The method used in this paper can be applied
directly to highly nonlinear problems without any discretization, linearization
or additional requirements.