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This study introduces Field-Programmable Gate Arrays (FPGAs) for rapid prototyping of chaos generators. It details Python-based VHDL code for creating multi-scroll chaotic attractors, enabling faster engineering applications.

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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.