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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.

Ikeda Delay Differential Equation Source Code
The source code zip archive contains an XML representation of the Ikeda Delay Differential Equation Model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 21kb .zip
Last Modified: March 28, 2011
previous versions

<a href="http://www.compadre.org/OSP/items/detail.cfm?ID=11123">Christian, Wolfgang, and Francisco Esquembre. "Ikeda Delay Differential Equation Model." Version 1.0.</a>

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).

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>.

Christian, W., & Esquembre, F. (2011). Ikeda Delay Differential Equation Model (Version 1.0) [Computer software]. Retrieved July 28, 2016, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11123&DocID=2219

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 28 July 2016).

%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

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