redouble (v)
make or become much greater, more intense, more numerous (Concise Oxford )
synonyms : intensify, increase, augment, multiply, amplify
'doubling' (v)
a term coined by JL Moreno, meaning "a process in which one person identifies
with another person's view of the universe, with their actions and with their
emotions and feelings ... deveoping a two way interaction with the other person".
(Max Clayton, Reflections On Doubling)