The nonlinear effects of noise on parametric amplification: An analysis of noise rise in Josephson junctions and other systems

1987 ◽  
Vol 62 (7) ◽  
pp. 2898-2913 ◽  
Author(s):  
Paul Bryant ◽  
Kurt Wiesenfeld ◽  
Bruce McNamara
Keyword(s):  
Josephson Junctions ◽  
Nonlinear Effects ◽  
Parametric Amplification

Parametric amplification by unbiased Josephson junctions

1975 ◽  
Vol 46 (9) ◽  
pp. 4031-4042 ◽  
Author(s):  
M. J. Feldman ◽  
P. T. Parrish ◽  
R. Y. Chiao
Keyword(s):  
Josephson Junctions ◽  
Parametric Amplification

The Influence of the McCumber Parameter on Parametric Amplification of High-Frequency Radiation by Josephson Junctions

2018 ◽  
Vol 73 (2) ◽  
pp. 211-215
Author(s):  
V. Ch. Zhukovskii ◽  
O. D. Pozdnyakova ◽  
V. D. Krevchik ◽  
M. B. Semenov ◽  
A. V. Shorokhov
Keyword(s):  
High Frequency ◽  
Josephson Junctions ◽  
Parametric Amplification ◽  
Frequency Radiation ◽  
High Frequency Radiation

Chaos and Nonlinear Effects in Josephson Junctions and Devices

1992 ◽  
pp. 107-128 ◽  
Author(s):  
U. Krüger ◽  
J. Kurkijärvi ◽  
M. Bauer ◽  
W. Martienssen
Keyword(s):  
Josephson Junctions ◽  
Nonlinear Effects

scholarly journals The effects of nonlinear damping on degenerate parametric amplification

2020 ◽  
Vol 102 (4) ◽  
pp. 2433-2452
Author(s):  
Donghao Li ◽  
Steven W. Shaw
Keyword(s):  
Maximum Amplitude ◽  
Nonlinear Effects ◽  
Nonlinear Damping ◽  
Parametric Amplification ◽  
Resonant Peak ◽  
System Response ◽  
Parameter Study ◽  
Response Curves ◽  
Direct Excitation ◽  
General Phase

AbstractThis paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase between the two. This generalizes and expands on previous studies of nonlinear effects on parametric amplification, notably by including the effects of nonlinear damping, which is commonly observed in a large variety of systems, including micro- and nano-scale resonators. Using the method of averaging, a thorough parameter study is carried out that describes the effects of the amplitudes and relative phase of the two forms of excitation. The effects of nonlinear damping on the parametric gain are first derived. The transitions among various topological forms of the frequency response curves, which can include isolae, dual peaks, and loops, are determined, and bifurcation analyses in parameter spaces of interest are carried out. In general, these results provide a complete picture of the system response and allow one to select drive conditions of interest that avoid bistability while providing maximum amplitude gain, maximum phase sensitivity, or a flat resonant peak, in systems with nonlinear damping.

Multiple Crossover Effects and Nonlinear Effects on Socio-Cultural Adjustment

2004 ◽  
Author(s):  
Riki Takeuchi ◽  
David P. Lepak ◽  
Sophia Marinova ◽  
Seokhwa Yun
Keyword(s):  
Nonlinear Effects ◽  
Cultural Adjustment ◽  
Crossover Effects
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