Chaos and instability in nonlinear electron generator

The example of applying the instability theory to the description of dynamic modes of an electronic generator with a tunnel diode having an N-shaped volt-ampere characteristic is given in the paper. Such generators are essentially non-equilibrium systems and have pronounced chaotic dynamics. The singular dynamic method and the criteria for instability and chaos formulated by the authors earlier are used for the analysis of dynamic regimes in the generator. General conditions for the appearance of unstable, chaotic oscillations in the generator are obtained. It is shown that unstable, chaotic oscillations corresponding to the observed regimes in the experiment appear in the vicinity of extremes of the current-voltage characteristic.