Mode locking and spatiotemporal chaos in periodically driven Gunn diodes

Erik Mosekilde; Rasmus Feldberg; Carsten Knudsen; Morten Hindsholm

doi:10.1103/PhysRevB.41.2298

Mode locking and spatiotemporal chaos in periodically driven Gunn diodes

Erik Mosekilde, Rasmus Feldberg, Carsten Knudsen, Morten Hindsholm

Technical University of Denmark

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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.

Original language	English
Journal	Physical Review B
Volume	41
Issue number	4
Pages (from-to)	2298-2306
ISSN	2469-9950
DOIs	https://doi.org/10.1103/PhysRevB.41.2298
Publication status	Published - 1990

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Copyright (1990) by the American Physical Society.

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title = "Mode locking and spatiotemporal chaos in periodically driven Gunn diodes",

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{\textquoteright}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.",

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AU - Knudsen, Carsten

AU - Hindsholm, Morten

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N2 - 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.

AB - 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.

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Mode locking and spatiotemporal chaos in periodically driven Gunn diodes

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