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This master thesis is based on the Ph D thesis by Jean Le Bail at LAG (Laboratoire d'Automatique de Grenoble) concerning Asymptotic Continuous Petri Nets (ACPN). The major properties of ACPN are presented. Four special cases are discussed: accumulation, synchronization, divergence, and conflicts. A new and improved method of solving the conflict case has been added to an already existing algor