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This paper introduces a new series of three-dimensional chaoticsystems with cross-product nonlinearities. Based on some conditions,we analyze the globally exponentially or globally conditionalexponentially attractive set and positive invariant set of thesechaotic systems. Moreover, we give some known examples to show ourresults, and the exponential estimation is explicitly derived. Finally, we construct some three-dimensional chaotic systems withcross-product nonlinearities and study the switching system betweenthem

A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching