For example from lawinsider emphasis mine
Forum Selection. Any litigation based hereon or arising out of, under or in connection with this Agreement, may be brought and maintained non-exclusively in the courts of the State of New York or in the United States District Court for the District of New York.
Forum Selection. The Parties consent to the exclusive jurisdiction of the State and Federal Courts located in the State and City of New York, for any dispute arising out of this Settlement Agreement.
What's the difference between non-exclusive and exclusive in the context of which court a dispute would be brought to?