Hyper chaos: Laboratory experiment and numerical confirmation

Hyper chaos: Laboratory experiment and numerical confirmation
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DOI:
10.1109/tcs.1986.1085862
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发表时间:
1986-11
期刊:
IEEE Transactions on Circuits and Systems
影响因子:
--
通讯作者:
T. Matsumoto;L. Chua;K. Kobayashi
T. Matsumoto;L. Chua;K. Kobayashi
中科院分区:
其他
文献类型:
--
作者:
T. Matsumoto;L. Chua;K. Kobayashi

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超混沌首次从一个真实的物理系统中被观察到:一个非常简单的四阶电路。它是自治的和互易的,只有一个非线性元件,一个三段分段线性电阻。由于电路的简单性,实验室测量结果已被数字计算机模拟所证实。超混沌性质证实了两个积极的李雅普诺夫指数与吸引子,这是一个分形的李雅普诺夫维数在3和4之间。
Hyperchaos has been observed, for the first time, from a real physical system: a very simple fourth-order electrical circuit. It is autonomous and reciprocal and has only one nonlinear element, a three-segment piecewise-linear resistor. Because of the circuit's simplicity, the laboratory measurements have been confirmed by digital computer simulations. The hyperchaotic nature is confirmed by the two positive Lyapunov exponents associated with the attractor, which is a fractal with a Lyapunov dimension between 3 and 4.