Scaling analysis is widely used to design scaled-down experimental facilities through which the prototype phenomena can be effectively evaluated.As a new method,dynamic system scaling(DSS)must be verified as a rationa...
The quaternion Mandelbrot set is one of the most important sets in mathematics. In this paper we first give some properties of the quaternion algebra. Then, we introduce the quternion dynamical system. We are concerne...
supported by the National Natural Science Foundation of China(No.61175084)
This paper proposes a method for planning the three-dimensional path for low-flying unmanned aerial vehicle(UAV) in complex terrain based on interfered fluid dynamical system(IFDS) and the theory of obstacle avoid...
Supported by the National Natural Science Foundation of China under Grant No.10972151.
The integration method of a dynamical system of relative motion is studied,and the method of variation of parameters for the dynamical equations of relative motion is presented.First,the dynamic equations of relative ...
the National Basic Research Program of China (Grant No. 2005CB321900);the National Natural Science Foundation of China (Grant No. 60473091)
Developing trusted softwares has become an important trend and a natural choice in the development of software technology and applications. At present, the method of measurement and assessment of software trustworthin...
the National Natural Science Foundation of China (Grant No. 10172095);LNM,Institute of Mechanics,Chinese Academy of Sciences
In this paper, to overcome the drawbacks of POT which minimize the reminder, not only the optimal functional with minimal residual is put forward, but also the method of global optimization is used. Under the conditio...
Using the matrix measure and delay differential inequality, the sufficient conditions were obtained for exponential stability of interval dynamical system with multidelay. These conditions are an improvement and exten...
The TOMS zonal average total ozone data in the Northern Hemisphere are decomposed with the empirical orthogonal function (EOF) method. According to the features of the spatial characteristic vectors, the characteristi...
Surge and rotating stall occurring in a centrifugal compressor system are investigated by using a phaseportrait reconstruction method. From experimentally measured time series of data, the method clari-fied the cyclic...
Project partially supported by the Foundation of Zhongshan University Advanced Research Centre;by the Foundation of Guangdong Province
The development of dynamical systems bears a close relation to the ergodic theo-ry. The former discusses a continuous or differentiable action of a group on a topological space and the latter discusses the measure-pre...