@Dragonmaurizio - The Duffing oscillator named after its inventor, German

The Duffing oscillator named after its inventor, German engineer Georg Duffing, is a fundamental concept in physics to study nonlinear dynamics and vibrational theory. The Duffing space phase express a mathematical model that describe nonlinear differential equations in a non-autonomous periodic system of the 2nd order, and is used to solve damped and driven chaotic vibrations with cubic potential energy, in the sense that is adopted to resonance at frequencies that exhibit hysteresis and multiple values other than natural frequency. The Duffing calculation is applied to mechanical engineering to simulate chaotic responses under certain conditions in anharmonic dynamical behavior such as curved optical phenomena, electrical circuits, magnetic pattern interference and degenerative particle distribution in quantum systems. Info: https://www.johndcook.com/blog/2018/04/22/duffing-equation/