Your husband did not start an affair because he felt desperate because you ignored him...
He started an affair because he is 1. Disloyal 2. Dishonest 3. Entitled 4. Selfish 5. A liar 6. Not committed
I would never date a man that i knew cheated on his long term partner. Its not admirable trait.
There is no such thing as a technique to get a spouse to come back to you. Usually, these types of disloyal, dishonest, entitled, selfish, liar, non committed types like what they dont have. So the moment they realize you dont want them back os is when they usually want to come back.
Work on not wanting him back. To do this you have to
1. GAL 2. Realize your worth and value 3. Realize his lack of worth and value
Put yourself in a better place. Dont pursue him. Make your life good without him.