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MATLAB has Simulink and Simscape, Maple has MapleSim and Scilab has Xcos. What is the equivalent product for Mathematica?

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The closest Wolfram equivalent to these products is the SystemModeler.

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You can't really compare SystemModeler and Simulink because the latter is based on transfer-function models and SystemModeler uses the object oriented modeling- language Modelica. Sure you can simulate a lot of systems in both packages, but the process of doing so is nothing alike. Furthermore Modelica is suitable to simulate multidomain problems (including e.g. thermal systems). – Sascha Dec 2 '12 at 8:55
@Sascha - its a good point. However, Wolfram themselves compare SystemModeler with Simulink wolfram.com/system-modeler/modeling-tools-comparison/… – WalkingRandomly Dec 2 '12 at 10:30
@WalkingRandomly - and no one can blame them doing so, since object based modeling turns out becoming more and more popular in a lot use cases. However, I would not suggest it to someone really comfortable with Simulink, especially not when working with e.g. signal-proceccing, control theory or the like. (While the capabilities of Mathematica in both mentioned fields are rather nice indeed - Version 9 looks even more promising with build-in functions like PIDTune) – Sascha Dec 2 '12 at 10:46
Mike, the comments here and above have been cleaned up. Let me know if you run into trouble. I found an older question that was ranked first in my search, but had incorrect info. I've updated that now. – rm -rf♦ Dec 2 '12 at 16:21
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I've heard of SystemModeler, but didn't have time to download a demo and play with it. For me (and others, I think) this answer could be improved a lot by showing one or more simple problems and how they would be tackled with Simulink and SystemModeler. – nikie Dec 3 '12 at 12:09
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