Studying the Chaotic Dynamics Using Rossler-Chua Systems Combined with A Semiconductor Laser

Abstract

In this paper, two different chaotic dynamic systems are coupled using a semiconductor laser to produce a new chaotic system. These two chaotic systems are Rossler and Chua systems. X-dynamic of Rossler system was coupled optically using optical fiber as a carrier of signal with x, y, and z-dynamics of Chua system. The results were analyzed and the behavior of Chua system was found to be changing in time series which, in turn, changed the attractor. The Chua attractor was converted from double scroll to single scroll. The results obtained from connecting two different systems in chaotic behavior showed a remarkable increase in the bandwidth of Chua system. This increase in bandwidth opens up a wide field for many applications, the most important of which is in the field of secure communications.

A novel secure communication system using optoelectronic feedback in semiconductor laser

“…When applying the correlation relationship between the two chaotic systems at this value of the correlation factor, we get a straight line inclined at an angle of o 45, and this is clear evidence of the complete synchronization between the two systems, and this is evident in Figures (19), ( 20) and ( 21). Now, after obtaining complete synchronization between the two chaotic systems, it is possible to send and receive any external messages without any distortion occurring in them, and this is evident in Figure (22), where the signal in is black line and signal out is blue line at coupling factor k equal 270 (synchronization), amplitude and frequency of signal in are 0.01 and 0.1.…”

“…The synchronization term can be represented by coupling term where k is coupling factor. Through previous experiments [1,6,7,[11][12][13][14][15][16][17][18][19][20][21][22], it was found that it is better to perform the synchronization process on the y2 channel, and to send the external message on the x1 channel, as follow:…”

“…Among these modern techniques is the use of chaos theory, Lorenz, Chua, Rossler Chen [2][3][4][5][6][7][8][9][10][11][12], where these works differed in terms of e ciency in transmitting information [13][14][15][16][17][18][19][20][21]. After the discovery of the laser, communication systems became more important due to its distinctive characteristics, and thus workers in this eld pushed the introduction of the laser as an essential element in communications [22][23].…”

A novel technique for encoding images using Chen model and computer-generated holograms

“…If the function F(ξ,η) is a object function, then the Fourier transform of it will be represented by the function G (x,y). then [15] 1 where x and y = 0,1,2,3……N − 1.…”

“…One of these works of literature has employed image encryption methods due of its large and complicated data. Using Chaos-based systems, which prevent unauthorized access to data transferred between locations [5][6][7][8][9][10][11][12][13][14][15][16]. Many encryption methods were used in the past, including circular mapping with two keys and an unorganized logistics map [17].…”