Mode locking and spatiotemporal chaos in periodically driven Gunn diodes

1 February 1990

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 41 (4) , 2298-2306
https://doi.org/10.1103/physrevb.41.2298

Abstract

Numerical simulation is applied to study the highly nonlinear-dynamic phenomena that can arise in Gunn diodes by interaction between the internally generated domain mode and an external microwave signal. By adjusting the time of domain formation and the speed of propagation, the internal oscillation entrains with the external signal. This produces a devil’s staircase of frequency-locked solutions. At higher microwave amplitudes, period doubling and other forms of mode-converting bifurcations can be seen. In this interval the diode also exhibits spatiotemporal chaos. At still higher microwave amplitudes, transitions to delayed, quenched, and limited space-charge accumulation modes take place.

Keywords

This publication has 24 references indexed in Scilit:

The double scroll bifurcations
International Journal of Circuit Theory and Applications, 1986
A chaos generator based on a quasi-harmonic oscillator
IEEE Transactions on Circuits and Systems, 1985
Evidence for Universal Chaotic Behavior of a Driven Nonlinear Oscillator
Physical Review Letters, 1982
Stochastic oscillations in dissipative systems
Physica D: Nonlinear Phenomena, 1981
A Topological Theory of Domain Velocity in Semiconductors
IBM Journal of Research and Development, 1969
Theory of negative-conductance amplification and of Gunn instabilities in "two-valley" semiconductors
IEEE Transactions on Electron Devices, 1966
Nonlinear space-charge domain dynamics in a semiconductor with negative differential mobility
IEEE Transactions on Electron Devices, 1966
S-band GaAs Gunn effect oscillators
Proceedings of the IEEE, 1965
Specific Negative Resistance in Solids
Proceedings of the Physical Society, 1963
Microwave oscillations of current in III–V semiconductors
Solid State Communications, 1963