Bifurcation from a 3-D hysteresis piecewise-constant circuit
Bifurcation from a 3-D hysteresis piecewise-constant circuit
复制标题
3-D 磁滞分段常数电路的分岔
DOI：
10.1109/iscas.2001.921457
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
Toshimichi Saito
中科院分区：
文献类型：
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作者：
T. Tsubone;K. Hoshino;Toshimichi Saito
我们提出一个三维磁滞分段常数电路。该电路由线性电容和非线性压控电流源组成。该电路非常简单，但表现出有趣的分叉现象。状态方程的右侧是分段常数，因此系统动力学可以简化为分段线性返回映射。使用返回映射，分岔现象几乎完全澄清。
We propose a 3-D hysteresis piecewise-constant circuit. The circuit consists of linear capacitors and nonlinear voltage controlled current sources. This circuit is extremely simple, but exhibits interesting bifurcation phenomena. The right-hand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewise-linear return map. Using the return map, the bifurcation phenomena are clarified almost completely.