Onset of random behavior in inertial generators with delay Finite-dimensional description

The onset of random behavior was experimentally studied in a specially designed delayed-feedback oscillator operating at radio frequency of 3.2 MHz. The influence of inertia on the transition to chaotic behavior and the properties of strange attractors in the supercritical region were studied in order to ascertain whether finite-dimensional models can be used in principle to describe the behavior of delayed-feedback oscillators. The results indicate that, at the very least, a six-dimensional system of nonlinear differential equations must be used to numerically simulate the approach to chaos in an inertial oscillator with a delayed feedback.