Laser with delayed feedback: how to control the quasiperiodic route to chaos

2005 ◽  
Author(s):  
R. Meucci ◽  
M. Ciofini ◽  
A. Labate
Keyword(s):  
Delayed Feedback ◽  
Quasiperiodic Route To Chaos ◽  
Route To Chaos

Routes to Chaos in Neural Networks with Random Weights

1998 ◽  
Vol 08 (07) ◽  
pp. 1463-1478 ◽  
Author(s):  
D. J. Albers ◽  
J. C. Sprott ◽  
W. D. Dechert
Keyword(s):  
Dynamical System ◽  
Neural Networks ◽  
Function Space ◽  
Dynamic Properties ◽  
Monte Carlo Study ◽  
Random Dynamical System ◽  
Network Function ◽  
The Neural Network ◽  
Quasiperiodic Route To Chaos ◽  
Route To Chaos

Neural networks are dense in the space of dynamical system. We present a Monte Carlo study of the dynamic properties along the route to chaos over random dynamical system function space by randomly sampling the neural network function space. Our results show that as the dimension of the system (the number of dynamical variables) is increased, the probability of chaos approaches unity. We present theoretical and numerical results which show that as the dimension is increased, the quasiperiodic route to chaos is the dominant route. We also qualitatively analyze the dynamics along the route.

Perturbative analysis of quasiperiodic route to chaos in the circle map

1990 ◽  
Vol 42 (1) ◽  
pp. 19-21 ◽  
Author(s):  
K M Valsamma ◽  
G Ambika ◽  
K Babu Joseph
Keyword(s):  
Circle Map ◽  
Quasiperiodic Route To Chaos ◽  
Route To Chaos

Universality in the quasiperiodic route to chaos

1996 ◽  
Vol 6 (1) ◽  
pp. 32-42 ◽  
Author(s):  
T. W. Dixon ◽  
T. Gherghetta ◽  
B. G. Kenny
Keyword(s):  
Quasiperiodic Route To Chaos ◽  
Route To Chaos

A Route to Chaos after Bifurcation in a Two-section Semiconductor Laser Using Opto-electronic Delayed Feedback at Each In-current

2014 ◽  
Vol 35 (4) ◽  
Author(s):  
Sen-lin Yan
Keyword(s):  
Semiconductor Laser ◽  
Delayed Feedback ◽  
The Self ◽  
Feedback Strength ◽  
Stable Periodic ◽  
Route To Chaos ◽  
Delayed Time

AbstractWe study dynamics in an opto-electronic delayed feedback two-section semiconductor laser. We predict theoretically that the system can result in bistability and bifurcation. We analyze numerically the route to chaos from stability to bifurcation by varying the delayed time, feedback strength and two in-currents. The system displays the four distinct types or modes of stable, periodic pulsed or self-pulsing, undamped oscillating or beating, and chaos. The frequency and intensity varying with the delayed time in the self-pulsation regions are discussed detailedly to find that the pulsing frequency is reduced with the long delayed time while the pulsing intensity is added. And the chaotic pulsing frequency is increased with the large in-current

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