There are two types of SUP apps. Naively written apps which use the MBO Object API and HTML 5 Hybrid Apps.
Native apps have a local database running on the mobile device that contains a subset of the data that is relevant to the mobile user. IE, it might contain sales records for a specific sales region. This data is partitioned to the mobile device using a synchronization parameter. Periodically, the copy of the data on the mobile device is synced with the data in the consolidated database running on the SUP server.
HTML 5 or Hybrid Apps communicate directly with the SUP server and do not have a local database containing a subset of relevant data. Because of this they do not use synchronization parameters.
The following sample demonstrates how a hybrid app can be used in an occasionally disconnected fashion. https://cw.sdn.sap.com/cw/docs/DOC-151623
The following sample which is not yet complete https://cw.sdn.sap.com/cw/docs/DOC-152083 may also be relevant.
Hope that helps,
Dan van Leeuwen