Mechanism for period-doubling bifurcation in a semiconductor laser subject to optical injection

1996 ◽  
Vol 53 (6) ◽  
pp. 4372-4380 ◽  
Author(s):  
Thomas Erneux ◽  
Vassilios Kovanis ◽  
Athanasios Gavrielides ◽  
Paul M. Alsing
Keyword(s):  
Semiconductor Laser ◽  
Period Doubling ◽  
Period Doubling Bifurcation ◽  
Optical Injection

Period‐doubling route to chaos in a semiconductor laser subject to optical injection

1994 ◽  
Vol 64 (26) ◽  
pp. 3539-3541 ◽  
Author(s):  
T. B. Simpson ◽  
J. M. Liu ◽  
A. Gavrielides ◽  
V. Kovanis ◽  
P. M. Alsing
Keyword(s):  
Semiconductor Laser ◽  
Period Doubling ◽  
Optical Injection ◽  
Route To Chaos

Period-doubling cascades and chaos in a semiconductor laser with optical injection

1995 ◽  
Vol 51 (5) ◽  
pp. 4181-4185 ◽  
Author(s):  
T. B. Simpson ◽  
J. M. Liu ◽  
A. Gavrielides ◽  
V. Kovanis ◽  
P. M. Alsing
Keyword(s):  
Semiconductor Laser ◽  
Period Doubling ◽  
Optical Injection

Sensitivity of routes to chaos in optically injected semiconductor lasers

2014 ◽  
Vol 23 (03) ◽  
pp. 1450036
Author(s):  
Najm M. Al-Hosiny
Keyword(s):  
Semiconductor Laser ◽  
Semiconductor Lasers ◽  
Period Doubling ◽  
Optical Signal ◽  
Optical Injection ◽  
Bifurcation Diagrams ◽  
Routes To Chaos ◽  
Route To Chaos

Two common routes to chaos, period-doubling and quasi-periodic, are theoretically investigated in semiconductor laser subject to optical injection. In particular, the sensitivity of the route to the injection of an additional optical signal is examined using bifurcation diagrams. Period-doubling route to chaos is found to be less sensitive to the perturbation of the second signal than the quasi-periodic route.

scholarly journals Period-doubling bifurcation analysis and chaos control for load torque using FLC

2021 ◽  
Author(s):  
Eman Moustafa ◽  
Abdel-Azem Sobaih ◽  
Belal Abozalam ◽  
Amged Sayed A. Mahmoud
Keyword(s):  
Floquet Theory ◽  
Chaos Control ◽  
Fuzzy Logic Controller ◽  
Chaotic Behavior ◽  
Period Doubling ◽  
Parameter Variation ◽  
Period Doubling Bifurcation ◽  
Load Torque ◽  
Nonlinear Behaviors ◽  
Scientific Fields

AbstractChaotic phenomena are observed in several practical and scientific fields; however, the chaos is harmful to systems as they can lead them to be unstable. Consequently, the purpose of this study is to analyze the bifurcation of permanent magnet direct current (PMDC) motor and develop a controller that can suppress chaotic behavior resulted from parameter variation such as the loading effect. The nonlinear behaviors of PMDC motors were investigated by time-domain waveform, phase portrait, and Floquet theory. By varying the load torque, a period-doubling bifurcation appeared which in turn led to chaotic behavior in the system. So, a fuzzy logic controller and developing the Floquet theory techniques are applied to eliminate the bifurcation and the chaos effects. The controller is used to enhance the performance of the system by getting a faster response without overshoot or oscillation, moreover, tends to reduce the steady-state error while maintaining its stability. The simulation results emphasize that fuzzy control provides better performance than that obtained from the other controller.

scholarly journals Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Changtong Li ◽  
Sanyi Tang ◽  
Robert A. Cheke
Keyword(s):  
Periodic Solution ◽  
Integrated Pest Management ◽  
Pest Management ◽  
Pest Control ◽  
Impulsive Control ◽  
Period Doubling ◽  
Dynamical Behaviour ◽  
Period Doubling Bifurcation ◽  
Predator Prey ◽  
Predator Prey Model

Abstract An expectation for optimal integrated pest management is that the instantaneous numbers of natural enemies released should depend on the densities of both pest and natural enemy in the field. For this, a generalised predator–prey model with nonlinear impulsive control tactics is proposed and its dynamics is investigated. The threshold conditions for the global stability of the pest-free periodic solution are obtained based on the Floquet theorem and analytic methods. Also, the sufficient conditions for permanence are given. Additionally, the problem of finding a nontrivial periodic solution is confirmed by showing the existence of a nontrivial fixed point of the model’s stroboscopic map determined by a time snapshot equal to the common impulsive period. In order to address the effects of nonlinear pulse control on the dynamics and success of pest control, a predator–prey model incorporating the Holling type II functional response function as an example is investigated. Finally, numerical simulations show that the proposed model has very complex dynamical behaviour, including period-doubling bifurcation, chaotic solutions, chaos crisis, period-halving bifurcations and periodic windows. Moreover, there exists an interesting phenomenon whereby period-doubling bifurcation and period-halving bifurcation always coexist when nonlinear impulsive controls are adopted, which makes the dynamical behaviour of the model more complicated, resulting in difficulties when designing successful pest control strategies.

The Role of Master Laser with Feedback in Time-Delay Signature Suppression of Semiconductor Laser Subject to Chaotic Optical Injection

2017 ◽  
Vol 27 (11) ◽  
pp. 1750169 ◽  
Author(s):  
Liyue Zhang ◽  
Wei Pan ◽  
Penghua Mu ◽  
Xiaofeng Li ◽  
Shuiying Xiang ◽  
...  
Keyword(s):  
Time Delay ◽  
Semiconductor Laser ◽  
Optical Feedback ◽  
Bias Current ◽  
Optical Injection ◽  
Strength Parameter ◽  
Master Laser ◽  
Feedback Strength ◽  
Chaotic Signals

The important role of parameters in master laser with optical feedback for the elimination of time-delay (TD) signature in semiconductor laser subject to chaotic optical injection is investigated systemically. The experimental results show that TD signature suppressed chaotic signals can be credibly generated by increasing the feedback strength of the master laser, which is quite different from the trends observed in semiconductor laser (SL) with optical feedback. Systematically numerical analysis is also carried out as a validation, and it is shown that with low bias current and strong feedback strength, parameter regions contributing to successful TD suppression are much wider. Furthermore, it is shown that the influence of frequency detuning in TD concealment will change with the increase of feedback strength. All the numerical results are in perfect accordance with experimental observation.

Period-doubling bifurcation in an electronic circuit with a fast-recovery diode and square-wave input

1988 ◽  
Vol 38 (3) ◽  
pp. 1645-1648 ◽  
Author(s):  
Chil-Min Kim ◽  
Chang-Ho Cho ◽  
Chul-Se Lee ◽  
Jae-Hag Yim ◽  
Jintai Kim ◽  
...  
Keyword(s):  
Electronic Circuit ◽  
Period Doubling ◽  
Period Doubling Bifurcation ◽  
Fast Recovery ◽  
Square Wave
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