Exploring the non-linear oscillations by means of the law of energy conservation: two examples

V. Ivchenko

Department of Natural Sciences Training, Kherson State Maritime Academy,Kherson 73000, Ukraine

We consider the usefulness of the law of energy conservation in describing the non-linear oscillations. We show how to apply this fundamental law for finding and constructing amplitude, period, and phase portrait in the case of asymmetric non-linear oscillations. Two illustrative examples from electrostatics and molecular physics are analysed. These findings will be useful to the students, who study the oscillation phenomena.