Copyright © 2013 Xinquan Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper introduces a new series of three-dimensional chaotic
systems with cross-product nonlinearities. Based on some conditions,
we analyze the globally exponentially or globally conditional
exponentially attractive set and positive invariant set of these
chaotic systems. Moreover, we give some known examples to show our
results, and the exponential estimation is explicitly derived.
Finally, we construct some three-dimensional chaotic systems with
cross-product nonlinearities and study the switching system between