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written by Wolfgang Christian and Francisco Esquembre
The Ikeda Delay Differential Equation model shows the dynamics of a delay differential equation that depends on the value of the dynamical variable x(t) at a previous time x(t-τ).  Sprott shows that these systems provide elegant examples of chaos in systems that are too simple to exhibit chaos without the time delay.  This model demonstrates how EJS provides a natural syntax for implementing these models.

The Ikeda Delay Differential Equation Model was developed using the Easy Java Simulations (EJS) modeling tool version 4.3.3.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_chaos_IkedaDDE.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
Subjects Levels Resource Types
General Physics
- Computational Physics
Mathematical Tools
- Differential Equations
Modern Physics
- Chaos & Non-linear Dynamics
Other Sciences
- Mathematics
- Upper Undergraduate
- Graduate/Professional
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Wolfgang Christian and Francisco Esquembre
Merlot:
pending
Keywords:
delay, differential equation
Record Cloner:
Metadata instance created March 28, 2011 by Wolfgang Christian
Record Updated:
June 9, 2014 by Andreu Glasmann
Last Update
when Cataloged:
March 28, 2011
Other Collections:

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Record Link
AIP Format
W. Christian and F. Esquembre, Computer Program IKEDA DELAY DIFFERENTIAL EQUATION MODEL, Version 1.0 (2011), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219).
AJP/PRST-PER
W. Christian and F. Esquembre, Computer Program IKEDA DELAY DIFFERENTIAL EQUATION MODEL, Version 1.0 (2011), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219>.
APA Format
Christian, W., & Esquembre, F. (2011). Ikeda Delay Differential Equation Model (Version 1.0) [Computer software]. Retrieved July 31, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219
Chicago Format
Christian, Wolfgang, and Francisco Esquembre. "Ikeda Delay Differential Equation Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219 (accessed 31 July 2014).
MLA Format
Christian, Wolfgang, and Francisco Esquembre. Ikeda Delay Differential Equation Model. Vers. 1.0. Computer software. 2011. Java 1.5. 31 July 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian and Francisco Esquembre", Title = {Ikeda Delay Differential Equation Model}, Month = {March}, Year = {2011} }
Refer Export Format

%A Wolfgang Christian
%A Francisco Esquembre
%T Ikeda Delay Differential Equation Model
%D March 28, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%A Esquembre, Francisco
%D March 28, 2011
%T Ikeda Delay Differential Equation Model
%7 1.0
%8 March 28, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219


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Citation Source Information

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Ikeda Delay Differential Equation Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Ikeda Delay Differential Equation Model.

relation by Wolfgang Christian

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