A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/590421 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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
them. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |