%0 Journal Article
%T Non-smooth bifurcation analysis of a piecewise linear chaotic circuit<br>分段线性混沌电路的非光滑分岔分析
%A Ji Ying
%A Bi Qin-Sheng
%A <br>季颖
%A 毕勤胜
%J 物理学报
%D 2010
%I 
%X The dynamics of a nonlinear capacitor circuit is investigated in this paper. The symmetric periodic solution and the chaotic attractor can be observed in numerical simulations. Furthermore, the generalized Jacobian matrix at the non-smooth boundaries is introduced to explore the non-smooth bifurcation mechanism for the periodic solutions. Discontinuous bifurcation in the combination of the Hopf bifurcation and the turning point bifurcation occurs at the non-smooth boundaries. Here, the Hopf bifurcation may result in a new frequency, which leads to periodic oscillation. With the variation of the parameter, the periodic symmetric solution oscillates more quickly, which can also be explained through non-smooth bifurcation, and the conclusion accord well with the numerical results.
%K piecewise linear chaotic circuit
%K non-smooth bifurcation
%K period-adding bifurcation<br>分段线性混沌电路
%K 非光滑分岔
%K 加周期分岔
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=9D4A6A78B5BA204DB6BA81BFFC45391B&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=708DD6B15D2464E8&sid=D7B2F8B77547D625&eid=089BA5ACF8684FA4&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=15