Chaos and Hyperchaos in a Ka-Band Gyrotron

We present the first experimental proof of hyperchaotic regimes in a gyrotron. Based on experimental data analysis, we calculate the spectrum of Lyapunov exponents and estimate the correlation dimension of the attractors in non-stationary regimes of oscillation of a Ka-band gyrotron. We prove the existence of chaotic and hyperchaotic behavior characterized by one and two positive Lyapunov exponents, respectively. Estimations of dimensions of the obtained attractors show the values higher than 4 in the developed chaos regimes.