Intrinsically non-linear oscillating systems

In this work some intrinsically non-linear mechanical and electrostatic systems are studied. We show, through the Taylor series expansion of the potential energy, that at the limit of small oscillations these systems do not perform simple harmonic movements. Therefore, even for small oscillations some oscillating systems behave like non-linear oscillators.

Keywords:
Simple harmonic oscillator; Non-linear oscillator; Potential energy; Taylor series expansion