History development fluxed from evolution linear development to nonlinear development with reviewing on the research development of system history and system economics.

By way of appling the extended form of homogeneous balancing method to nonlinear evolution equation of the constant coefficient, and to nonlinear development of variable coefficient, this paper obtains, as examples, Burgers Kdv equation with constant coefficient as well as solitary solution and solution-like solutions to the Kdv equation with variable coefficient.

The small perturbation phenomenon, which is related to the frequency of the inherent surge in the system, is found before the nonlinear development of surge.

Based on the nonlinear development of complexity science, neural network theory, chaos theory and wavelet analysis, and the partial research results on insect pests; a framework for the application of complexity theory in insect pest disaster research is developed based on the concept of a greatly complicated system. This offers new theoretical support to further study of the cause, mechanism and prediction of insect pest disasters.

Results for attachment to father were opposite, with a linear decline in quality for boys, and a nonlinear development for girls.

Weakly nonlinear development of waves in an axisymmetric hypersonic boundary layer is studied by the method of bispectral analysis.

Nonlinear development of two-dimensional hydroelastic instability in a turbulent boundary layer on an elastic coating

Nonlinear development of longwave inviscid perturbations in a boundary layer

The use of the WKB method enables us to estimate the amplitude and the period of the cycle versus dynamo wave parameters in the framework of the nonlinear development of the one-dimensional Parker migratory dynamo.

Starting from the linear Vlasov equation and employing the circuit equation general equa-tion of the self-consistent theory-on traveling-wave tubes. were obtained, If the equilibriumdistribution function f_0 is specified as a Dirac delta function, the results of the paper areconsistent. with that given by pierce. The influence of velocity spread on the instabilityof traveling-wave tubes is investigated, and the analysis is carried out for the distributionfunction f_0 being a step-function. The numerical computation...

Starting from the linear Vlasov equation and employing the circuit equation general equa-tion of the self-consistent theory-on traveling-wave tubes. were obtained, If the equilibriumdistribution function f_0 is specified as a Dirac delta function, the results of the paper areconsistent. with that given by pierce. The influence of velocity spread on the instabilityof traveling-wave tubes is investigated, and the analysis is carried out for the distributionfunction f_0 being a step-function. The numerical computation of the velocity spread Δ/V_0, velo-city parameter b and growth rate x_1 is presented, and the results are discussed in detail.The nonlinear development of the growth rate x_1 is investigated within the frameworkof a quasi-linear model that makes use of the total energy balance for the system.

In the centrifugal compression system, the transient states from the initial period of surge inception to the full developed surge are measured and analyzed in detail. The small perturbation phenomenon, which is related to the frequency of the inherent surge in the system, is found before the nonlinear development of surge. Therefore, the causes why the small perturbation is produced are investigated mechanismically. By means of Joint Timefrequency Analysis and successive FFT data processing, a few characteristics...

In the centrifugal compression system, the transient states from the initial period of surge inception to the full developed surge are measured and analyzed in detail. The small perturbation phenomenon, which is related to the frequency of the inherent surge in the system, is found before the nonlinear development of surge. Therefore, the causes why the small perturbation is produced are investigated mechanismically. By means of Joint Timefrequency Analysis and successive FFT data processing, a few characteristics of the small perturbation have been diagnosed at the inlet, the outlet, the plenum and the circumference of centrifugal fan. The method which is used to capture the signal of surge inception is designed.

A boundary theory is used to study the coupling behavior of double resistive tearing mode in a mulhple current layer. Simple analytic expresses for the tearing instability parameter Δ' are obtained under the first leading order, which are applicable for both linear and nonlinear development of the double tearing mode. The results show that the coupling of the two rational surfase modes always contributes a destabilizing effect to the double tearing mode. The sbength of the coupling relates not only to...

A boundary theory is used to study the coupling behavior of double resistive tearing mode in a mulhple current layer. Simple analytic expresses for the tearing instability parameter Δ' are obtained under the first leading order, which are applicable for both linear and nonlinear development of the double tearing mode. The results show that the coupling of the two rational surfase modes always contributes a destabilizing effect to the double tearing mode. The sbength of the coupling relates not only to the disboce and initial status between the two rational surfaces, but also to the relahve developing strength of the two rational surface modes. More far away of the two rational surfaces is, weaker of the coupling strength becomes, and the weaker rational surface mode is effected more heavily by the other stronger rational surface mode. The initial nonlinear developing tendency of the double tearing mode is also investigated by using the coupling equations. The spontaneous reconnection caused by tearing mode instability in the multiple current sheet may be important for solar flare, corona heating and the coupling between the solar wind and the magnetosphere.