In large-scale structural and control engineering, the needs of nonlinear eigenequation are being rised progressively.

The characteristic line equation of adaptive bending is established and applied to the numerical control of the bending forming of ribbed structural parts.

Research into Some Problems on Nonlinear Characteristics and Forecast Theory of Capital Market;

Considered the electron-phonon interaction and the condensation of TA or LA phonon, the double sine-Gordon equation of atomic phase angle has been proposed to study the nonlinear characteristics of the pretransition and the electron- phonon coupling m.

The non-linear characteristics in environmental system;

Water project considering non-linear characteristics of environment and economy;

Study on Nonlinear Feature of Vibration Signal in Automobile Main Reducer;

Kernel principal component analysis(KPCA) is capable of extracting nonlinear features from fault signals,thus applied to fault condition identification.

In gear fault diagnosis example, SKPCA was applied to extract the nonlinear feature from the fault feature set, the result shows contribution of the first and second principle components are more concentrated by SKPCA than by SPCA, and SKPCA has better classification performance than KPCA.

We conclude some main non-linear features of Shanghai and Shenzhen securities market,then the theoretical significances and practical relevance of this conclusions has been discussed in the last sector.

By using the bispectral technique,the forty-five years time series of monthly river runoff of the Wei-River and the Qingjiang-River in Baoji city are respectively analyzed to depict their non-linear features.