【摘要】 选取一个含分段线性负电容的三阶自治电路,根据拓扑共轭的概念,归纳总结一般性的分段线性向量场线性共轭和线性等价关系。利用共轭等效判据,证明了非线性电容三阶自治电路与蔡氏电路非线性共轭。说明本电路具有潜在的研究价值,属一类能产生双涡卷混沌的新三阶自治电路。更多还原

【Abstract】 The quantitative nature of a third-order autonomous circuit containing a nonlinear capacitor was discussed. With the concept of topological conjugacy a general concept of linear conjugacy and linear equivalence in piecewise-linear vector field are induced. And the third-order autonomous circuit containing a non-linear capacitor isn’t linear conjugacy with Chua’s circuit is proved. So the circuit is studied can be classified as a new third-order autonomous circuit in which double-scroll chaos would exist.更多还原