433 citations · 461 across the 5 of their papers we have counts for
5 papers
Sensitive dependence and transitivity of fuzzified dynamical systems
Xinxing Wu, Xiong Wang, Guanrong Chen
This paper proves that a set-valued dynamical system is sensitively dependent on initial conditions (resp., -sensitive, multi-sensitive) if and only if its -fuzzifi…
On the large deviations theorem of weaker types
Xinxing Wu, Xiong Wang
In this paper, we introduce the concepts of the large deviations theorem of weaker types, i.e., type I, type I', type II, type II', type III, and type III', and present a systemati…
Constructing a chaotic system with any number of equilibria
Xiong Wang, Guanrong Chen
In the chaotic Lorenz system, Chen system and Rössler system, their equilibria are unstable and the number of the equilibria are no more than three. This paper shows how to constru…
A chaotic system with only one stable equilibrium
Xiong Wang, Guanrong Chen
If you are given a simple three-dimensional autonomous quadratic system that has only one stable equilibrium, what would you predict its dynamics to be, stable or periodic? Will it…
A simple yet complex one-parameter family of generalized lorenz-like systems
Xiong Wang, Juan Chen, Jun-An Lu +1
This paper reports the finding of a simple one-parameter family of three-dimensional quadratic autonomous chaotic systems. By tuning the only parameter, this system can continuousl…