scholarly journals Limit-cycle-induced frequency locking in self-sustained current oscillations in superlattices

2004 ◽  
Vol 69 (4) ◽  
Author(s):  
Z. Z. Sun ◽  
H. T. He ◽  
J. N. Wang ◽  
Shi-dong Wang ◽  
X. R. Wang
Keyword(s):  
Limit Cycle ◽  
Frequency Locking ◽  
Current Oscillations

scholarly journals Limit cycle theory of self-sustained current oscillations in sequential tunneling of superlattices

2005 ◽  
Vol 38 (2) ◽  
pp. 142-150 ◽  
Author(s):  
Z.Z. Sun ◽  
Shi-dong Wang ◽  
S.Q. Duan ◽  
X.R. Wang
Keyword(s):  
Limit Cycle ◽  
Current Oscillations

THE DYNAMICS AND HYSTERESIS IN GaAs/AlGaAs HETEROSTRUCTURE UNDER THE ACTION OF ELECTRIC AND MAGNETIC FIELDS

2008 ◽  
Vol 22 (06) ◽  
pp. 425-433 ◽  
Author(s):  
GUI YANG ◽  
HONG-WEI ZHAO ◽  
GUO-HUI LI ◽  
SHI-PING ZHOU
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Electric Fields ◽  
Period Doubling ◽  
Perpendicular Magnetic Field ◽  
Frequency Locking ◽  
Electric And Magnetic Fields ◽  
Current Oscillations ◽  
Dc Bias ◽  
Nonlinear Behaviors

We theoretically studied current oscillations and the dynamics of the modulation-doped GaAs/AlGaAs heterostructure under the action of electric fields and a perpendicular magnetic field. The results show that the current oscillations and hysteresis in the system can be found under the DC bias voltage. Under the effect of the increasing magnetic fields, the oscillations will disappear and the width of the hysteresis is broader. Considering the AC part, the system shows interesting nonlinear behaviors like the route of an inverse period-doubling to chaos, quasiperiodicity, and frequency-locking.

ANALYTICAL APPROXIMATION OF HETEROCLINIC BIFURCATION IN A 1:4 RESONANCE

2012 ◽  
Vol 22 (12) ◽  
pp. 1250294 ◽  
Author(s):  
ABDELHAK FAHSI ◽  
MOHAMED BELHAQ
Keyword(s):  
Limit Cycle ◽  
Analytical Approach ◽  
Analytical Approximation ◽  
Heteroclinic Cycle ◽  
Slow Flow ◽  
Heteroclinic Bifurcation ◽  
Subharmonic Solution ◽  
Frequency Locking ◽  
Flow Limit ◽  
Forced Oscillator

Bifurcation of heteroclinic cycle near 1:4 resonance in a self-excited parametrically forced oscillator with quadratic nonlinearity is investigated analytically in this paper. This bifurcation mechanism leads to the disappearance of a slow flow limit cycle giving rise to frequency-locking near the resonance. The analytical approach used to approximate the bifurcation is based on a collision criterion between the slow flow limit cycle and saddles involved in the bifurcation. The amplitudes of the 1:4-subharmonic solution and the slow flow limit cycle are approximated using a double perturbation procedure and the heteroclinic bifurcation is captured applying the collision criterion. For validation, the analytical results are compared to those obtained by numerical simulations.

Frequency locking using cascaded fibre Bragg gratings in OFDM systems

1996 ◽  
Vol 32 (12) ◽  
pp. 1120 ◽  
Author(s):  
C.S. Park ◽  
G.Y. Lyu ◽  
D.H. Lee
Keyword(s):  
Bragg Gratings ◽  
Ofdm Systems ◽  
Frequency Locking ◽  
Fibre Bragg Gratings
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