VHDL Descriptions for the FPGA Implementation of PWL-Function-Based Multi-Scroll Chaotic Oscillators

• Published in: PloS one Vol. 11; no. 12; p. e0168300
• Main Authors: Tlelo-Cuautle, Esteban, Quintas-Valles, Antonio de Jesus, de la Fraga, Luis Gerardo, Rangel-Magdaleno, Jose de Jesus
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 20.12.2016; Public Library of Science (PLoS)
• Subjects: Algorithms; Chaos theory; Circuit design; Computer and Information Sciences; Computer engineering; Computer science; Descriptions; Electronic devices; Electronic equipment; Engineering and Technology; Engineering research; Field programmable gate arrays; Gate arrays; Generators; Hardware description languages; Innovations; Integrated circuits; Nonlinear Dynamics; Oscillators; People and Places; Physical Sciences; Programmable logic arrays; Programming languages; Prototyping; Rapid prototyping; Research and Analysis Methods; Signal processing; Mexico
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0168300

Nowadays, chaos generators are an attractive field for research and the challenge is their realization for the development of engineering applications. From more than three decades ago, chaotic oscillators have been designed using discrete electronic devices, very few with integrated circuit technology, and in this work we propose the use of field-programmable gate arrays (FPGAs) for fast prototyping. FPGA-based applications require that one be expert on programming with very-high-speed integrated circuits hardware description language (VHDL). In this manner, we detail the VHDL descriptions of chaos generators for fast prototyping from high-level programming using Python. The cases of study are three kinds of chaos generators based on piecewise-linear (PWL) functions that can be systematically augmented to generate even and odd number of scrolls. We introduce new algorithms for the VHDL description of PWL functions like saturated functions series, negative slopes and sawtooth. The generated VHDL-code is portable, reusable and open source to be synthesized in an FPGA. Finally, we show experimental results for observing 2, 10 and 30-scroll attractors.