starting issues on 1990 Dodge Dynasty

I have a 1990 Dodge Dynasty with a 3.3 v-6 engine. I have been experiencing intermittent no start issues. Symptoms are car will start and run rough from between 3-30 seconds and then die again. I have replaced the fuel pump and fuel filter. I appear to have good spark and good fuel pressure. I have never had a check engine light on this car. And to make it more interesting the car runs well when it does start. Lots of power without any hesitation. Thank you for your time

Asked by for the 1990 Dodge Dynasty
What are the trouble codes stored in the PCM?
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I would check your alternator, im having the same problem with the 93.