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Most objects in Auryn that have a direct network function can be subdivided into SpikingGroup, Connection and Monitor. These three base classes implement the important interfaces that are called consecutively during the Auryn duty cycle. Instances of their descendants are registered and managed by the System class, an instance of which is global to each Auryn simulation. Similarly global is the the Logger class which takes care of logging output on the console and into log files.
The most complete description of available classes and how to use them you will find in the doxygen generated class library. However, below are some entries for commonly used simulation components (which might, in some cases, not be too up to date any more)