On spatial lyapunov exponents and spatial chaos
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1163-1181 |
| Journal / Publication | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 13 |
| Issue number | 5 |
| Publication status | Published - May 2003 |
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Abstract
In this paper, we investigate the periodic orbits, spatial Lyapunov exponents, and stability of spatially periodic orbits of the general 2D Logistic system xm+1,n + axm,n+1 = f(μ, (1 + a)xmn), where a is a real constant and μ is a parameter. The existence of spatial chaos in the sense of Li and Yorke is proved using the Marotto theorem. These results extend the corresponding results in the 1D Logistic system xm+1,n0 = f(μ, xm,n0), where no is a fixed integer. These results also improve some existing results of the 2D coupled map lattice (CML) model xm+1,n = (1 - ε) f(xmn) + ε/2[f(xm,n-1) + f(xm,n+1)], where ε > 0 is the coupling constant.
Research Area(s)
- CML model, Generalized 2D logistic system, Spatial chaos, Spatial Lyapunov exponent
Citation Format(s)
On spatial lyapunov exponents and spatial chaos. / Liu, Shu Tang; Chen, Guanrong.
In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 13, No. 5, 05.2003, p. 1163-1181.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
