The Sloane Digital Sky Survey (SDSS) has been in the process of creating a 3D digital map of the Universe, since 2000AD. However, it has not been able to map that portion of the sky which is occluded by the dust gas a...
supported by National Natural Science Foundation of China(Grant Nos.11771295,11431014,11931004 and 11371252);Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant No.2008DP173182)。
This paper studies limit behaviors of stationary measures for stochastic ordinary differential equations with nondegenerate noise and presents a criterion to guarantee that a repeller with zero Lebesgue measure is a n...
This article is a review and promotion of the study of solutions of differential equations in the “neighborhood of infinity” via a non traditional compactification. We define and compute critical points at infinity ...
Supported by the National Natural Science Foundation of China (No.10871181)
In this paper,using the notion of an isolating block and Conley’s attractor theory,an existence criterion of trajectories connecting a pair of invariant sets of ordinary differential equations is given.
supported by National Natural Science Foundation of China (Grant No. 10701032);Natural Science Foundation of Hebei Province (Grant No. A2008000132)
In this paper, the concept of Lyapunov exponent is generalized to random transformations that are not necessarily differentiable. For a class of random repellers and of random hyperbolic sets obtained via small pertur...
supported financially by Mahani Mathematical Research Center
In this article the notion of repeller for multifunctions from the viewpoints of semi-bornologicul spaces is considered. The concept of lower semi-continuous multifunctions is extended by the use of semi-bornological ...
Fractal characters and fractal dimension of time series created by repeller in complicated system were studied and the time series were reconstructed by applying the theory of phase space reconstruction for chaotic ti...
The project supported by the National Natural Science Foundation of China(No.10275053)
This article reports an observation on a fat strange repeller, which appears after a characteristic crisis observed in a kicked rotor subjected to a piecewise continuous force field. The discontinuity border in the de...