A survey on the integrated design of chaotic oscillators

Frequency limitations in generating multi-scroll chaotic attractors using CFOAs

“…In electronics, Chua's chaotic oscillator is quite popular because it has so many possibilities to be implemented (Gopakumar et al, 2011;Kilic, 2003;Sánchez-López, 2012;Tlelo-Cuautle et al, 2006;Trejo-Guerra et al, 2013;TrejoGuerra et al, 2009), and it allows to generate multi-scroll chaotic attractors (TrejoGuerra et al, 2010;Trejo-Guerra et al, 2012;Yalcin et al, 2000). In this investigation we use the CFOA AD844 1 to implement the multi-scroll chaotic oscillator described by (1), where f (x; k,h,p,q) models the SNLF given by (2), which must satisfy: 0 < a,b,c,d 1 < 1, to accomplish chaos conditions, as already demonstrated by (Lü & Chen, 2006;Lü et al, 2004).…”

“…During the last decade, theoretical design and circuit implementation of various multiscroll chaos generators have been a focal subject of increasing interest in electronics engineering (Gandhi & Roska, 2009;Lü & Chen, 2006;Lü, Chen, Yu, & Leung, 2004;Sun, Wang, Huang, & Shen, 2011;Trejo-Guerra, Tlelo-Cuautle, Carbajal-Gomez, & Rodriguez-Gomez, 2013; Trejo-Guerra, Tlelo-Cuautle, Jiménez-Fuentes, Trejo-Guerra et al, 2012;Yalcin, Suykens, & Vandewalle, 2000). For instance, a multi-scroll chaotic oscillator based on saturated nonlinear function (SNLF) series is well described by Lü et al (2004).…”

Application of a Chaotic Oscillator in an Autonomous Mobile Robot

“…3. Afterwards, such a diagram can be realized using operational amplifiers (opamps), as well as by using integrated circuit technology, as summarized in [1]. In this article, the chaotic oscillator is implemented as shown by Fig.…”

“…In such PWL function: k is the slope and a multiplication factor of the saturated plateaus plateau = nk , where n=odd integer to generate an attractor with an even number of scrolls, and n=even integer to generate even scrolls. h denotes the saturated delay from the center of the slope and it is established according to h i = ±m, where i = 1, ..., [(scrolls − 2)/2] In (1), the PWL function is parameterized as shown in (2), but it needs to be scaled in order to implement the saturated function series with electronic devices [1]. That way, (3) describes the normalization of (2), providing values that can be realized with commercially available electronic devices [8].…”

“…In electronics, chaotic oscillators have been designed with a wide variety of active devices [1][2][3]. That way and from their successful realizations, they are quite suitable for many engineering applications [4][5][6][7][8].…”