Dr. Rodrigo Daniel Mendez-Ramirez

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

RIGOBERTO MARTINEZ CLARK

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).

26 July 2021 in Electronics

Journal Article

Miguel Angel Murillo-Escobar

Chaotic digital cryptosystem using serial peripheral interface protocol and its dsPIC implementation

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).

1 February 2018 in Frontiers of Information Technology & Electronic Engineering

Journal Article

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

Fausto Abundiz-Pérez

Rigoberto Martínez-Clark

The current massive use of digital communications demands a secure link by using an embedded system (ES) with data encryption at the protocol level. The serial peripheral interface (SPI) protocol is...

1 January 2019 in Complexity

Journal Article

Miguel Angel Murillo-Escobar

Dynamic coupling in small-world outer synchronization of chaotic networks

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.

1 September 2021 in Physica D: Nonlinear Phenomena

Journal Article

A. Arellano-Delgado

R.M. López-Gutiérrez

Network Synchronization of MACM Circuits and Its Application to Secure Communications

L. Cardoza-Avendaño

C. Cruz-Hernández

19 April 2023 in Entropy

Journal Article