Southampton VHDL-AMS Validation Suite

School of Electronics and Computer Science, University of Southampton

Van Der Pol Oscillator Equation

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-- VHDL-AMS Model of Van Der Pol Oscillator Equation
-- (c) Southampton University 1997
-- Southampton VHDL-AMS Validation Suite - example 1
-- 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 : 22 March 2003 by tjk

--

--------------------------------------------------------------------------

-- 1. VHDL-AMS Model

library IEEE;
use IEEE.math_real.all;

entity VanDerPol is
    generic (m: real := 1.0);
    port (quantity x: out real); -- unknown x(t)
end entity VanDerPol;

architecture SecondOrderODE of VanDerPol is
    quantity x1: real;
begin
    if domain = quiescent_domain use -- set the initial conditions
        x == 0.0;
        x1 == 0.1;     -- initial value of x'dot
    else
        -- second-order Van Der Pol ODE
        x'dot == x1;
        x1'dot == -m*(x*x - 1.0)* x1 - x;
    end use;
end architecture SecondOrderODE;

-------------------------------------------------------------------------------

-- 2. Testbench

library IEEE;
use IEEE.math_real.all;

entity test_vanderpol is
end entity test_vanderpol;

architecture test of test_vanderpol is
    quantity x: real;
begin
    vanderpol1: entity vanderpol generic map (m => 0.2) port map (x=>x);
end architecture test;

--------------------------------------------------------------------------------

-- 3. Simulation Results using SystemVision

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