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

Area of Science:

• Electrical Engineering
• Nonlinear Dynamics
• Computer Engineering

Background:

• Chaos generators are crucial for engineering applications but their realization is challenging.
• Traditional chaotic oscillator design uses discrete components or limited integrated circuits.
• Fast prototyping of chaotic systems is needed for advanced engineering solutions.

Purpose of the Study:

• To propose Field-Programmable Gate Arrays (FPGAs) for fast prototyping of chaos generators.
• To present a high-level programming approach using Python for VHDL code generation.
• To demonstrate the creation of multi-scroll chaotic attractors using piecewise-linear (PWL) functions.

Main Methods:

• Developing VHDL descriptions for chaos generators using Python.
• Implementing algorithms for PWL functions including saturated series, negative slopes, and sawtooth.
• Synthesizing portable, reusable, and open-source VHDL code for FPGA implementation.
• Generating and observing 2, 10, and 30-scroll attractors experimentally.

Main Results:

• Successful fast prototyping of chaos generators using FPGAs.
• Demonstration of generating complex multi-scroll attractors (2, 10, 30 scrolls).
• Validation of VHDL code portability, reusability, and open-source nature.

Conclusions:

• FPGAs offer an effective platform for rapid prototyping of chaos generators.
• Python-based VHDL generation simplifies the design of complex chaotic systems.
• The developed methods facilitate the creation of diverse multi-scroll chaotic attractors for engineering applications.