论文标题

成员和备忘录是过度无调的系统!

Memcapacitors and Meminductors are Overunity Systems!

论文作者

Jeltsema, Dimitri, van der Schaft, Arjan

论文摘要

严格地证明,理想的成员和备忘录不是被动的或无损的设备,也不满足Cyclo-Passivity的较弱概念,这在丢弃存储功能的非负性要求时会产生。同等地,这意味着存在激发曲线,可以从设备中提取比提供的能量更多的能量。使它们的能量转化效率超过100%。这意味着理想的成员和备忘录构成了所谓的过度审计系统。提供了一个说明性的机械类似物,该类似物明确确认了此属性。因此,出现的问题是理想的成年能力和备忘录是否仅仅是一些数学玩具或人工制品。

It is rigorously proved that ideal memcapacitors and meminductors are not passive or lossless devices, nor are they satisfying the weaker notion of cyclo-passivity, which arises when dropping the requirement of non-negativity of the storage function. Equivalently, this implies that there exist excitation profiles that allow to extract more energy from the device than it is supplied with; so that their energy conversion efficiency exceeds 100%. This means that ideal memcapacitors and meminductors constitute so-called overunity systems. An illustrative mechanical analogue is provided that explicitly confirms this property. Hence, the question arises if ideal memcapacitors and meminductors will just remain some mathematical toys or artefacts.

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