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Chaotic dynamics essentially defines the global properties of gravitatingsystems, including, probably, the basics of morphology of galaxies. We use theRicci curvature criterion to study the degree of relative chaos (exponentialinstability) in core-halo gravitating configurations. We show the existence ofa critical core radius when the system is least chaotic, while systems withboth smaller and larger core radius will typically possess stronger chaoticproperties.Comment: In proceedings of MG11 meeting, Berlin 200

CHAOS IN CORE-HALO GRAVITATING SYSTEMS