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Two identical chaotic oscillators that are mutually coupled via time delayed signals showvery complex patternsof completely synchronized dynamics including stationary states and periodic as well as chaotic oscillations.Wehave experimentally observed these synchronized states in delay-coupled electronic circuits and have analyzedtheir stability by numerical simulations and analytical calculations.We found that the conditions for longitudinaland transversal stability largely exclude each other and prevent, e.g., the synchronization of Pyragas-controlledorbits. Most striking is the observation of complete chaotic synchronization for large delay times, which shouldnot be allowed in the given coupling scheme on the background of the actual paradigm

Complete chaotic synchronization and exclusion of mutual Pyragas control in two delay-coupled Rössler-type oscillators