Is there any tool that could turn a Petri Net into system of math equations?

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I have a colored, descrete Petri Net. I have a picture. How to get a math (ODE\DE\system of equations) representation of it?

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i strongly recommend you to study murata article on petri nets which has a mathematical analysis approach on petri net. you will find a good mathematical analysis in that. below is its link:

murata article on petri nets.