270 DDA solver for van der Pol oscillator

270 : DDA solver for van der Pol oscillator

Design render
  • Author: Adonai Cruz
  • Description: Digital differential analyzer (DDA) solver for the van der Pol oscillator using posit (16,1)
  • GitHub repository
  • Clock: 0 Hz

How it works

The DDA core expects to receive via SPI port the parameter for the van der Pol oscillator encoded in posit (16,1) padded with 2 zero bytes to compose a 32-bit word. When an SPI message is started by the master (SPI CS pin low) the integrators are clocked and solutions for both state variables, X and Y, are transmitted back serially via SPI as a single 32-bit word for each time step with the 16 bits MSB encoding X and the 16 bits 16 bits LSB encoding Y. Simulation can be stopped by stopping communication via SPI.

How to test

In order to test chip reset the chip (RST_N active low) and start a duplex SPI communication transmitting 32-bit word with the van der Pol parameter $\mu$ encoded in posit (16,1) using the 16 bits LSB of the 32-bit word (padded with zeros). A controller software to interface with the chip via FTDI FT232H using SPI is available at https://github.com/adonairc/tt07-dda-van-der-pol

DDA solutions of the van der Pol oscillator showing the evolution of the limit cycle for different values of $\mu$

External hardware

This projects uses the top row pins of PMOD for SPI:

uio[0] - CS
uio[1] - MOSI
uio[2] - MISO
uio[3] - SCK

IO

#InputOutputBidirectional
0SPI CS
1SPI MOSI
2SPI MISO
3SPI CLK
4
5
6
7

Chip location

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