Southampton VHDL-AMS Validation Suite

School of Electronics and Computer Science, University of Southampton

Lorenz Chaos Equation

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-- VHDL-AMS model of Lorenz Chaos equations
-- (c) Southampton University 1997
-- Southampton VHDL-AMS Validation Suite - example 2
-- author: Tom Kazmierski
-- Department of Electronics and Computer Science, University of Southampton
-- Highfield, Southampton SO17 1BJ, United Kingdom
-- Tel. +44 2380 593520   Fax +44 2380 592901
-- e-mail: tjk@ecs.soton.ac.uk
-- Created: 28 May 1997
-- Last revised:  1 August 2005 (by Shaolin Wang)

--

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-- 1. VHDL-AMS Model

library IEEE;
use IEEE.math_real.all;

entity LorenzChaos is
    port (quantity x,y,z: out real); -- unknowns: x(t), y(t) and z(t)
end entity LorenzChaos;

architecture Chaotic of LorenzChaos is
    constant s: real := 10.0; -- define equation parameters s,b,r
    constant b: real := 8.0/3.0;
    constant r: real := 28.0;
begin
    if (domain = quiescent_domain) use -- set initial conditions
        x == 0.0;
        y == 5.0;
        z == 25.0;
    else
        x'dot == s*(y-x);         -- equation set:
        y'dot == r*x-y-x*z;
        z'dot == x*y - b*z;
    end use;
end architecture Chaotic;

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-- 2. Testbench

library IEEE;
use IEEE.math_real.all;

entity Test_LorenzChaos is
end entity Test_lorenzChaos;

architecture test of Test_LorenzChaos is
    quantity x,y,z: real;
begin
    LorenzChaos1: entity lorenzchaos port map (x=>x, y=>y, z=>z);
end architecture test;

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-- 3. Simulation Results using SystemVision

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School of Electronics and Computer Science, University of Southampton, Highfield, Southampton S017 1BJ, United Kingdom