Degradation analysis of generalized Chua's circuit generator of multi-scroll chaotic attractors and its implementation on PIC32

Méndez-Ramírez, Rodrigo; Arellano-Delgado, Adrian; Cruz-Hernández, C.; López-Gutiérrez, R.M.

doi:10.1109/ftc.2016.7821731

Cited by 4 publications

(6 citation statements)

References 19 publications

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“…In order to conduct the simulations of the NA, we used the Proteus Virtual System Modeling (VSM) Software, in special, the VSM for Microchip version that contains the device libraries of some families of 8-bit PIC and 16-bit Complexity dsPIC33 microcontrollers, and the schematic capture tool was used to simulate the complete V1 and V2 ESs [55]. e numerical results of V1-V4 proposed and their equivalences between simulation and implementation are carried out by using the methods described in [29,37,38]. e total quantity of iterations Q T is referred to as the maximum number of n iterations generated in 1 second, and it is represented in time units (tu), and the CSs (2)- (6) are represented in three dimensions, i.e., we are considering N � 3 dimensions, and the Q T representation is given by…”

Section: Digital Implementationmentioning

confidence: 99%

“…Software tools, such as Matlab or Labview, allow to simulate and reproduce the CSs in their DVs using NAs as Euler, Heun, and RK4 [35], where a small step size is considered to compare their DV versus their CV [32][33][34]. e literature reports digital implementations of CSs in their DVs for di erent applications by using embedded systems (ESs) such as microcontrollers where the main cores are 8-bit PIC18F microcontroller [36]; 16-bit dsPIC microcontroller [37]; 32-bit microcontrollers such as PIC32 [29,38], ARM Cortex-M3 [39], DSP [40], and Altera and Xilinx FPGAs [7, 32-34, 41, 42]; system on chip (SoC) that contains fast processors as NanoPC-T3 Plus [43]; and Raspberry Pi 3 [44], among others.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

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Digital implementation of chaotic systems (CSs) has attracted increasing attention from researchers due to several applications in engineering, e.g., in areas as cryptography and autonomous mobile robots, where the properties of chaotic systems are strongly related. The CSs in the continuous version (CV) need to be discretized where chaotic degradation must be analyzed to guarantee preservation of chaos. In this paper, we present a degradation analysis of five three-dimensional CSs and the necessary conditions to implement the discretized versions (DVs) of Lorenz, Rössler, Chen, Liu and Chen, and Méndez-Arellano-Cruz-Martínez (MACM) CSs. Analytical and numerical analyses of chaos degradation are conducted by using the time series method; the maximum discrete step size and the Lyapunov Exponents (LEs) are computed by using the Euler, Heun, and fourth-order Runge–Kutta (RK4) numerical algorithms (NAs). We conducted comparative studies of performance based on time complexity of the five proposed CSs in their DVs by using four embedded systems (ESs) based on three families of Microchip microcontrollers 8-bit PIC16F, 16-bit dsPIC33FJ, and 32-bit PIC32MZ (of low-cost electronic implementation) and a Field Programmable Gate Array (FPGA). Based on the results, the intervals at control parameters to guarantee chaos are proposed, which improves the performance characteristics of the five proposed CSs in their DVs based on digital applications.

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Section: Digital Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

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“…The computing capacity on the embedded systems such as FPGA [25][26][27], system on chip (SOC) [28], DSP [29], and 16 or 32-bit microcontrollers [26,30] continues being a challenge for designers to reproduce a chaotic system considering tools that currently have embedded systems. The algorithm of a chaotic map of discrete time can be directly implemented in an embedded system, whereas the chaotic systems of continuous time need to be discretized by using some numerical solution to be implemented in an embedded system [21].…”

Section: Introductionmentioning

confidence: 99%

A New 4D Hyperchaotic System and Its Analog and Digital Implementation

et al. 2021

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This work presents a new four-dimensional autonomous hyperchaotic system based on Méndez-Arellano-Cruz-Martínez (MACM) 3D chaotic system. Analytical and numerical studies of the dynamic properties are conducted for the new hyperchaotic system (NHS) in its continuous version (CV), where the Lyapunov exponents are calculated. The CV of the NHS is simulated and implemented using operational amplifiers (OAs), whereas the Discretized Version (DV) is simulated and implemented in real-time. Besides, a novel study of the algorithm performance of the proposed DV of NHS is conducted with the digital-electronic implementation of the floating-point versus Q1.15 fixed-point format by using the Digital Signal Processor (DSP) engine of a 16-bit dsPIC microcontroller and two external dual digital to analog converters (DACs) in an embedded system (ES).

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“…The microcontroller PIC32 was programmed by using Mikroc Pro for Pic 32 compiler that includes the standard IEEE-754; this means that the numerical results in simulation by using Matlab to represent the DV-system (14) and implementation by using Mikroc Pro for Pic 32 compiler are equivalents. We use a novel method reported in [37,38] in order to reproduce the DV of chaotic system (14) by using an PIC32 microcontroller and external DACs connected by the serial peripheral interface (SPI) protocol. The compact ES Mikromedia Plus for PIC32MX7 contains one 32-bit PIC32MX795F512L microcontroller as central part.…”

Section: Of Ncs and Its Digital Implementationmentioning

confidence: 99%

“…The CVs usually are represented by using OAs [31,34]. For DVs, Matlab or Labview allows simulating the dynamical behaviors of discretized chaotic systems to desirably obtain the less degradation with respect to CVs, and their implementations are reproduced by using ESs as FPGAs [35], DSPs [36], or microcontrollers [37][38][39].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2017

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This paper presents a new three-dimensional autonomous chaotic system. The proposed system generates a chaotic attractor with the variation of two parameters. Analytical and numerical studies of the dynamic properties to generate chaos, for continuous version (CV) and discretized version (DV), for the new chaotic system (NCS) were conducted. The CV of the NCS was implemented by using an electronic circuit with operational amplifiers (OAs). In addition, the presence of chaos for DV of the NCS was proved by using the analytical and numerical degradation tests; the time series was calculated to determine the behavior of Lyapunov exponents (LEs). Finally, the DV of NCS was implemented, in real-time, by using a novel embedded system (ES) Mikromedia Plus for PIC32MX7 that includes one microcontroller PIC32 and one thin film transistor touch-screen display (TFTTSD), together with external digital-to-analog converters (DACs).

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Degradation analysis of generalized Chua's circuit generator of multi-scroll chaotic attractors and its implementation on PIC32

Cited by 4 publications

References 19 publications

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

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

A New 4D Hyperchaotic System and Its Analog and Digital Implementation

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

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