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- F. Bozkurt, Qingdu Li
- 2014

β 0 x(⟦t⟧) − β 1 x(⟦t − 1⟧)) + γ 1 x(⟦t⟧) + γ 2 x(⟦t − 1⟧)}, where the parameters α, β 0 , β 1 , and r denote positive numbers, γ 1 and γ 2 are negative numbers and ⟦t⟧ is the integer part of t ∈ [0,∞). Equation (A) explains a brain tumor growth, where γ 1 is embedded to show the drug effect on the tumor and γ 2 is a rate that causes a negative effect by… (More)

- Timothy J. Healey, Qingdu Li, Ron-Bin Cheng
- J. Nonlinear Science
- 2013

We consider the wrinkling of highly stretched, thin rectangular sheets – a problem that has attracted the attention of several investigators in recent years, nearly all of which employ the classical Föppl-von Kármán (F-K) theory of plates. (See Figure 1 below for a schematic diagram.) We first propose a rational model that correctly accounts for large… (More)

- Xiao-Song Yang, Qingdu Li
- I. J. Bifurcation and Chaos
- 2007

- Qingdu Li, Xiao-Song Yang, Fangyan Yang
- Neurocomputing
- 2005

- Qingdu Li, Xiao-Song Yang
- I. J. Bifurcation and Chaos
- 2010

- Qingdu Li, Xiao-Song Yang
- Chaos
- 2006

In this paper, we study chaotic dynamics of a class of three-dimensional Glass networks with different decay constants, illustrate how the horseshoe is generated, and present a rigorous computer-assisted verification of chaoticity by virtue of interval analysis and topological horseshoe theory.

Smale horseshoes, curvilinear rectangles and their U-shaped images patterned on Smale’s famous example, provide a rigorous way to study chaos in dynamical systems. The paper is devoted to constructing them in two-dimensional diffeomorphisms with the existence of transversal homoclinic saddles. We first propose an algorithm to automatically construct… (More)

- Qingdu Li, Song Tang, Xiao-Song Yang
- Chaos
- 2013

This paper uncovers several new stable periodic gaits in the simplest passive walking bipedal model proposed in the literature. It is demonstrated that the model has period-3 to period-7 gaits beside the period-1 gaits found by Garcia et al. By simulations, this paper shows that each of these new gaits leads to chaos via period-doubling bifurcation and… (More)

- Xiao-Song Yang, Qingdu Li
- I. J. Bifurcation and Chaos
- 2004

- Xiao-Song Yang, Qingdu Li
- I. J. Bifurcation and Chaos
- 2005

Chua’s circuit has becomes very popular since the mid-1980’s [Mees & Chapman, 1987; Zhong & Ayrom, 1985; Kennedy, 1993a, 1993b; Shil’nikov, 1993; Brown, 1993; Belykh & Chua, 1993], because it is a rather simple electronic system that exhibits chaos. Due to its physical nature, Chua’s circuit is an ideal paradigm for research on chaos by laboratory… (More)