Oscilace

Osilace is a term used in dynamical systems theory to describe a class of models or devices that convert a non-oscillatory input into a controlled, self-sustained oscillation. The concept emphasizes feedback and nonlinearity that generate limit-cycle behavior rather than requiring an external periodic drive.

In a typical osilace model, a slow or constant input modulates a state variable that, through a nonlinear feedback loop and time-delayed coupling, yields an internal oscillation with a characteristic frequency. The output is robust to moderate perturbations and can be tuned by adjusting parameters such as feedback gain, delay, and nonlinear thresholds.

There are analog implementations described by continuous-time equations and digital implementations where the map is computed discretely. Applications include test signal generation, synchronization studies, neuromorphic computing analogies, and metrology.

As a theoretical construct, osilace serves as a framework for analyzing how stable rhythms can arise from non-oscillatory inputs. Common mathematical templates include systems of coupled ordinary differential equations with nonlinear activations, or discrete-time maps with delayed feedback.

Related concepts include limit cycles, feedback oscillators, phase-locked loops, and neuromorphic oscillators.