Experimental network synchronization via plastic optical fiber

Degradation Analysis of Chaotic Systems and their Digital Implementation in Embedded Systems

“…LEs to obtain the chaotic degradation of the five CSs in their DVs are computed by using the NAs of Euler (6), only the τ max were reported in [29]; in this study, the LEs and D KY are added, and their results are presented in Table 3. In addition, we computed LEs, τ max , and D KY of the five CSs in their DVs by using the NAs of Heun (7) and (8) and RK4 (9)- (13), and their results are presented in Tables 4 and 5, respectively. e results obtained in Tables 3-5 show that MACM CS presents the higher τ max , and Chen and Liu and Chen CSs present the smallest τ max in comparison with Lorenz.…”

“…Rössler system supports an interval small of τ max , because the chaotic dynamics diverges. Nevertheless, Rössler system presents a high interval in comparison Lorenz system by using the NAs of Heun (7) and (8) and RK4 (9)-(13), and their results are described in Tables 4 and 5. Figure 1 illustrates the comparison of τ max obtained with the results of the NAs described in Tables 3-5.…”

“…In recent years, scienti c community has become interested in chaotic systems (CSs) due to their potential application in several areas of engineering, where the properties of chaos are desired, such as high sensitivity to initial conditions, high entropy, topology complexity, ergodicity, among others [1][2][3][4][5][6]. Electronic implementations based on chaos have been developed for digital applications, e.g., as pseudorandom sequence generator [7], synchronization of optical networks [8], image encryption [9], chaotic trajectories for autonomous mobile robot [10], chaotic radar [11], among others [12][13][14][15][16][17]. Lorenz is the rst 3D CS reported in the literature [18].…”

“…e results of this paper can be of great interest for digital applications of chaos in engineering. To our knowledge, the literature does not report comparative studies of digital degradation of five 3D CSs in their DVs by using the NAs of Euler, Heun, and RK4, where its performance is conducted in microcontrollers of 8,16, and 32 bits, and FPGA. e paper is organized as follows: In Section 2, the normalized version of five three-dimensional CSs are presented, numerical analyses calculating the Lyapunov exponents are conducted to verify the chaotic behavior using the Euler, Heun, and RK4 NAs where a Root-Mean-Square Error (RMSE) analysis is conducted to compare their continuous and DVs.…”

A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System

“…In recent years, chaotic systems have attracted the attention of the scientific community due to their potential applications in several areas of science and engineering, as an interesting nonlinear phenomenon with different applications in biology, secure communication, complex networks, experimental network synchronization, fingerprint encryption, among others [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In 1963, Lorenz proposed a three-dimensional system of two scrolls; this is recognized as the first reported chaotic model [16].…”