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Highlights from
Tutorial on solving DDEs with DDE23

  • exam1
  • exam1
  • exam2
  • exam2
  • exam3
  • exam3
  • exam4
  • exam4
  • exam5
  • exam5
  • exam6 This is a demonstration problem for CTMS/BD in
  • exam6 This is a demonstration problem for CTMS/BD in
  • exam7 An example from C. Marriott and C. DeLisle, Effects
  • exam7 An example from C. Marriott and C. DeLisle, Effects
  • exam8 This is the suitcase problem from Suherman, et al.,
  • exam8 This is the suitcase problem from Suherman, et al.,
  • exer1 Example 1 of K.W. Neves, Automatic integration
  • exer1 Example 1 of K.W. Neves, Automatic integration
  • exer2 Example of J.D. Farmer, Chaotic Attractors of an
  • exer2 Example of J.D. Farmer, Chaotic Attractors of an
  • exer3 Wheldon's model of chronic granuloctic leukemia
  • exer3 Wheldon's model of chronic granuloctic leukemia
  • exer5
  • exer5
  • exer6 Sample problem of ARCHI manual. The absolute error
  • exer6 Sample problem of ARCHI manual. The absolute error
  • exer7 Marchuk immunology model of E. Hairer, S.P. Norsett, and
  • exer7 Marchuk immunology model of E. Hairer, S.P. Norsett, and
  • prob1 This system of ODE's is taken from 'An Introduction to Nuermcial Methods
  • prob1 This system of ODE's is taken from 'An Introduction to Nuermcial Methods
  • prob2 This problem considers a cardiovascular model, which can be found in
  • prob2 This problem considers a cardiovascular model, which can be found in
  • prob2b This problem considers a cardiovascular model, which can be found in
  • prob2b This problem considers a cardiovascular model, which can be found in
  • prob3 This problem is epidemic model due to Cooke, more information can be
  • prob3 This problem is epidemic model due to Cooke, more information can be
  • prob4 This problem is an epidemic model due to Cooke et alia, more information
  • prob4 This problem is an epidemic model due to Cooke et alia, more information
  • prob5 This problem population growth model due to Cooke et alia, more information
  • prob5 This problem population growth model due to Cooke et alia, more information
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from Tutorial on solving DDEs with DDE23 by Jacek Kierzenka
Solving delay differential equations with DDE23. Tutorial + Examples.

exer2 
function sol = exer2
% Example of J.D. Farmer, Chaotic Attractors of an 
% Infinite-Dimensional Dynamical System, Physica D, 
% 4 (1982) 366-393. The Mackey-Glass equation is a 
% scalar equation that exhibits chaotic behavior.  
% Fig. 2a starts the plot with t = 50 to let an initial 
% transient settle down.

% Copyright 2002, The MathWorks, Inc.

sol = dde23(@exer2f,14,0.5,[0, 300]);
t = linspace(50,300,1000);
y = deval(sol,t);
ylag = deval(sol,t - 14);
figure
plot(y,ylag)
title('Fig. 2a of Farmer.')
xlabel('y(t)');
ylabel('y(t-14)');

%-----------------------------------------------------------------------

function yp = exer2f(t,y,Z)
%EXER2F  The derivative function for Exercise 2 of the DDE Tutorial.
yp = 0.2*Z / (1 + Z^10) - 0.1*y;

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