In this study, a novel nonlinear PID controller is developed for a class of second-order nonlinear systems subject to uncertainties and external disturbances. The proposed control architecture ...

Nonlinear oscillators with two degrees of freedom (2DOF) serve as fundamental models for describing complex dynamical behavior in engineering and applied mechanics. Accurate prediction of their ...

Imagine standing on top of a mountain. From this vantage point, we can see picturesque valleys and majestic ridges below, and streams wind their way downhill. If a drop of rain falls somewhere on this ...

Physicists have long been drawn to the nonlinear Hall effect: a subtle variant of the classical Hall effect, in which an ...

Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...