You can send invoice overdue notice manually or automatically with cron job.
Sending with cron job
To setup automatically overdue notice go to Setup -> Settings -> Cron Job
If you want to send the same day when the is the ovredue set the field Automatically send reminder after to 0 otherwise set it according your needs.
The second field is about resending the overdue notice based on the last notice date. If you want to disable resending the overdue notice set this field to 0
NOTE: The overdue notices will be sent at specific hour based Hour of day to perform automatic operations value that is set in Setup->Settings->Cron Job->Invoices.