Abstract
Based on a numerical solution of the equations of the nonstationary nonlinear theory, we study chaotic self-oscillation regimes in a backward-wave oscillator. For “weak” chaos, arising via a period-doubling cascade of self-modulation for moderate values of the normalized-length parameter, and for developed chaos, which corresponds to large values of this parameter, we present the temporal dependences of the output-signal amplitude, the phase portraits, and the statistical parameters of the dynamics. It is shown that developed chaos is characterized by the presence of more than one positive Lyapunov exponent (hyperchaos). We also present estimates of the Kolmogorov–Sinai entropy, the Lyapunov dimension, and the correlation dimension obtained from the Grassberger–Procaccia algorithm. The results confirm that a finite-dimensional strange attractor is responsible for the chaotic regimes in a backward-wave oscillator.
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Kuznetsov, S.P., Trubetskov, D.I. Chaos and Hyperchaos in a Backward-Wave Oscillator. Radiophysics and Quantum Electronics 47, 341–355 (2004). https://doi.org/10.1023/B:RAQE.0000046309.49269.af
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DOI: https://doi.org/10.1023/B:RAQE.0000046309.49269.af