If you have some global variables for your application that consists of multiple files and you want them to be accessible via all of the files in your application, define them as global variables in your main .js file:
server.js
global.myName = 'Carl';
require('app1.js');
require('app2.js');
In that scenario, both app1.js and app2.js will be able to read and write to the variabme myName
.
Change the variables defined in your globals.js to follow the structure above, and it should achieve your goals - assuming I understood the question correctly.
EDIT: As seanhodges suggested, you could also keep the globals.js and edit accordingly:
Server.js
require('globals.js)
require('app1.js');
require('app2.js');
globals.js
global.myName = 'Carl';