No, they use different devices.
The Amur Falcons were tracked using satellite tags. These communicate with satellites to establish the exact location of the bird and communicate back to a base.
The Swifts were tracked using geolocators. These measure the light level and the location of the bird can then be estimated from the day length and the timing of sunrise/sunset.
Each method has pros and cons. Satellite tracking is very accurate and can provide daily updates of location without the need to recapture the bird, but is expensive and can only be used on larger birds. Geolocators are smaller and cheaper, but are less accurate and require that the bird is recaptured so that the data can be downloaded. If you look closely at the maps Geoff provided, you can see that the tracks for the Amur Falcon are more detailed with the exact location whereas the Swift map shows only the approximate location.
