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This paper presents the algorithms and the results of multi-user detectors (MUD) on a synchronous chaos-based code division multiple access system (CDMA), which uses chaotic sequences as the spreading codes. Popular linear and non-linear MUD algorithms such as the decorrelator detector, minimum mean square error (MMSE) detector and parallel interference cancellation (PIC) detector are all considered in this paper. These conventional detectors are used to compare the BER performance with a novel blind-MUD receiver. The blind-MUD is achieved by a recently emerged learning technique called support vector machines (SVM). This method can be used to replace the conventional matched filter of the receiver and can be implemented on the forward link. All the MUD schemes are simulated over an AWGN channel and result shows that the blind-MUD compare favorably with other techniques.