傳統上所謂的負微分電阻電路，指的是共振穿透二極體（RTD），它們主要是由Ⅲ-Ⅴ族複合半導體所構成，它們並不適合現在主流的CMOS或BiCMOS製程。然而在本論文所提出的新型負微分電阻電路有MOS-HBT-NDR，MOS-NDR 及R-HBT-NDR，這些負微分電阻電路除了擁有與RTD相同具有折疊的I-V特性曲線外，它們又具有高可調制的特點，尤其是它們符合現在的主流製程，它們能很容易的可以與其它的應用電路整合在一個晶片上，使系統在同一晶片上(SoC)成為可能。
雙峰值的MOS-HBT-NDR 電路擁有較佳的峰-谷電流比（PVCR），及比RTD更寬的可調變的I-V特性曲線，我們在這個論文裡新研製了一個非常高的PVCR電路，並利用它以不同的負載方式來設計多值記憶器。我們又利用單穩態-雙穩態傳輸邏輯閘（MOBILE）理論，用新型的MOS-NDR電路來實作多功能邏輯閘，最後我們以新型的R-HBT-NDR電路來實作一個以NDR為基礎的混沌電路，並分別改變輸入頻率，輸入振幅及輸入偏壓來設計間夾有混沌效果的除頻器。

Most of the previously published negative-differential-resistance circuits (NDR) are implemented by the resonant tunneling diode (RTD). These devices and circuits are Ⅲ-Ⅴ compound semiconductors, which are not compatible with the main stream of Si-based CMOS or SiGe-based BiCMOS process.
In this thesis, We propose three new types NDR circuits, which are MOS-HBT-NDR, MOS-NDR and R-HBT-NDR. These NDR circuits not only have fold feature but also high modulation in I-V characteristic. However, these NDR circuit is completed of the Si-based MOS and SiGe-based HBT devices, it is convenient to combine with other devices and circuits to achieve the system-on a-chip (SoC).
Compared to the traditional RTD-based multiple-peak circuit, our novel
two-peak MOS-HBT-NDR owns high and adjustable PVCR characteristic. These phenomena provide flexible applications in multiple-valued memory design. We have demonstrated several methods to output the logic levels as we need.
We have fabricated the MOS-NDR circuits based on the standard 0.35 m CMOS process. We also have demonstrated the Multi-Function logic gate based on the MOS-NDR circuits. This circuit of logic gate design is operated according to the principle of MOBILE theory.
We have proposed a novel frequency divider using an NDR-based chaos circuit. This chaos circuit is based on the strong nonlinearity of an R-HBT-NDR circuit. We have researched the operation of the frequency divider circuit with respect to the input frequency, the bias voltage, input amplitude, and various input waveforms on the operation. A higher operation frequency is expected for this type of frequency divider.

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