Abstract More and more attention has been focused on effectively generating chaos via simple physical devices. The problem of creating chaotic attractors is considered for a class of nonlinear systems with backlash function in this paper. By utilizing the Silnikov heteroclinic and homoclinic theorems, some sufficient conditions are established to guarantee that the nonlinear system has horseshoe-type chaos. Examples and simulations are given to verify the effectiveness of the theoretical results.
Received: 11 September 2008
Revised: 30 October 2008
Accepted manuscript online:
PACS:
05.45.Gg
(Control of chaos, applications of chaos)
Fund: Project supported by
the National Natural Science Foundation of China (Grant Nos
60834002, 60603006, 60628301 and 60873021), and the International
Science and Technology Cooperative Project (Grant No 2008DFA12150).
Cite this article:
Liu Na(刘娜) and Guan Zhi-Hong(关治洪) Chaotification for a class of nonlinear systems 2009 Chin. Phys. B 18 1769
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