The limit cycles of the differential equation by using the nonlinear time transformation method are investigated.

The limit cycles of the strong nonlinear equation by using the nonlinear time transformation method are investigated.

According to the principle of kernel function spectral decomposition,the authors express the discrete real kernel as a symmetric matrix,and indicate the discrete bilinear time-frequency transformation as a weighted sum of discrete spectrograms with eigen-decomposition of symmetric matrices.

Additionally,the stability of linear timevarying interval matrices and nonlinear time-varying interval matrices is also studied.

Approximating statistics of stochastic variables after non-linear transformation with high-accuracy;

Through encoding algorithm and on the basis of the numeralization of chaos random sequence,a new non-linear transformation algorithm is introduced in order to resist various attacks of the chaotic stream cipher system.

A modulation scheme recognition arithmetic based on nonlinear transform and BP neural network;

Especially,for the nonlinearity of the resistive heater,an inverse nonlinear transform was introduced to change the controller design to a problem of linear s.

In this paper,one new nonlinear transform is constructed according to homogeneous balance,and it was used to solve Burgers equation.