Synchronization of PWL function-based 2D and 3D multi-scroll chaotic systems

Muñoz‐Pacheco, Jesús M.; Zambrano-Serrano, Ernesto; Beltran, Oriol; Gómez-Pavón, L. C.; Luis-Ramos, A.

doi:10.1007/s11071-012-0562-4

Cited by 63 publications

(35 citation statements)

References 10 publications

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“…The PWL function can be increased systematically, as already shown in [8], where the number of saturated segments equals the number of scrolls to be generated. 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.…”

Section: Double-scroll Chaotic Oscillatormentioning

confidence: 99%

“…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].…”

Section: Double-scroll Chaotic Oscillatormentioning

confidence: 99%

“…4. The advantage of this circuit is that it can be augmented systematically to design attractors in more than one direction, as shown in [8]. Fig.…”

Section: Experimental Verification Of the Chaotic Oscillatormentioning

confidence: 99%

“…That way and from their successful realizations, they are quite suitable for many engineering applications [4][5][6][7][8]. For instance, traditionally the control of robot systems has been implemented using computer program units (CPUs) [9], microcontrollers [10], etc.…”

Section: Introductionmentioning

confidence: 99%

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Application of a Chaotic Oscillator in an Autonomous Mobile Robot

Tlelo‐Cuautle

Ramos-López

Sanchez-Sanchez

et al. 2014

Journal of Electrical Engineering

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Terrain exploration robots can be of great usefulness in critical navigation circumstances. However, the challenge is how to guarantee a control for covering a full terrain area. That way, the application of a chaotic oscillator to control the wheels of an autonomous mobile robot, is introduced herein. Basically, we describe the realization of a random number generator (RNG) based on a double-scroll chaotic oscillator, which is used to guide the robot to cover a full terrain area. The resolution of the terrain exploration area is determined by both the number of bits provided by the RNG and the characteristics of step motors. Finally, the experimental results highlight the covered area by painting the trajectories that the robot explores.

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Section: Double-scroll Chaotic Oscillatormentioning

confidence: 99%

Section: Double-scroll Chaotic Oscillatormentioning

confidence: 99%

“…4. The advantage of this circuit is that it can be augmented systematically to design attractors in more than one direction, as shown in [8]. Fig.…”

Section: Experimental Verification Of the Chaotic Oscillatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Application of a Chaotic Oscillator in an Autonomous Mobile Robot

Tlelo‐Cuautle

Ramos-López

Sanchez-Sanchez

et al. 2014

Journal of Electrical Engineering

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“…In this article, we apply Hamiltonian forms [1] and observer approach to synchronize multi-scroll chaotic oscillators. The parameter values of the observers are approached analytically, like in [7], or in [8], where the synchronization is extended to multi-directional chaotic systems. Thus, starting from the mathematical model of a dynamical system, our FPGA realization improves the drawbacks related to the limitations of electronic devices, mainly when implementing piecewise linear (PWL) functions [9], because the amplifiers cannot work pretty well at high frequencies as an FPGA does.…”

Section: Introductionmentioning

confidence: 99%

FPGA realization of a chaotic communication system applied to image processing

et al. 2015

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The hardware realization of a chaotic communication system from the description of continuoustime multi-scroll chaotic oscillators is introduced herein by using field-programmable gate arrays (FPGA). That way, two multi-scroll chaotic oscillators generating 2 and 6 scrolls are synchronized by applying Hamiltonian forms and observer approach. The synchronized master-slave topology is used to implement a secure communication system by adding chaos to an image at the transmission stage and by subtracting chaos at the recover stage. The FPGA realization begins by applying numerical methods to solve the system of equations describing the whole chaotic communication system. Further, the replacement of multipliers by single constant multiplication blocks reduces the use of hardware resources and accelerates the processing time as well. Using chaotic oscillators with 2 and 6 scrolls, three kinds of images are processed: one in black and white and two in gray tones. Finally, the experimental results confirm the appropriateness on realizing chaotic communication systems for image processing by using FPGAs.

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