Technically, there is only one GPS, United States GPS (Global Positioning System).
However, there is more than one GNSS (global navigation satellite system). Several other countries have GNSS system, include Russia: GLONASS (Russian: Global Navigation Satellite System), China: BeiDou (Northern Dipper Star Navigation System), or European Union: Galileo. Additionally, there are augmentation systems that use GPS (or other GNSS) to increase accuracy in a given area. For example, US: WAAS (Wide Area Augmentation System), Japan: QZSS (Quasi-Zenith Satellite System), IRNSS (Indian Regional Navigation Satellite System). There are other regional, country and even commercial augmentation systems. Furthermore: Most GPS receivers are really GNSS receivers and can receive signal from one or more systems simultaneously. Random fact: More advanced receivers can be configured for select GNSS, augmentations system, or even miliary (or authorized user) bands for increase accuracy. Another random fact: Some receivers don’t work over a given speed to prevent their use in miliary applications.