There are two parts in the work of this thesis: researches on field-limiting ring (FLR) termination structure and field plate (FP) termination structure.

Quenching of limit cycles in control of SMA actuators;

A sufficient condition for existence of limit cycles of one kind of second class of quadratic systems;

Existence of limit cycles for a class of two-species predator-prey system;

Phase portrait technique was used to analyze the horizontal motion of a roll and determine a limit circle which could describe the path of sticking-sliding motion.

The global stability of the positive equilibrium in this system is expounded by using the stability and qualitative theory of the ordinary difference equation,then the existence,the uniqueness and the global stability of the limit circle are proved,thus some former conclusions are extended.

Using numerical analysis and visual technology, the parameters of the known Rayleigh van der pol equation are discussed in detail The relation between the limit circle and chaos strange attractors is foun

The Existence of Limit Cycle in A Kinetic Equation of the Chemistry;

Research of precision machine tool servo control technique based on the reduction of the limit cycle amplitude of backlash;

The check of the positioning limit cycle for a digital servo system;

A new analytical model for predicting the distribution of the ring voltage, edge peak field and optimal spacing of the planar junction with a single floating field limiting ring structure is presented, based on the cylindrical symmetric solution and the critical field concept.

BZ]A new quasi 2-dimensional analytical approach to predicting the ring voltage,edge peak fields and optimal spacing of the planar junction with a single floating field limiting ring structure has been proposed,based on the cylindrical symmetric solution and the critical field concept.