2009
DOI: 10.1007/s11442-009-0025-0
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The complex nonlinear systems with fractal as well as chaotic dynamics of annual runoff processes in the three headwaters of the Tarim River

Abstract: This paper attempted to identify fractal and chaotic characteristics of the annual runoff processes in headwaters of the Tarim River. Methods of fractal analyses were used to explore several aspects of the temporal changes from 1957 to 2002. The main findings are as follows: (1) The annual runoff processes of the three headwaters of the Tarim River are complex nonlinear systems with fractal as well as chaotic dynamics. (2) The correlation dimensions of attractor derived from the time series of the annual runof… Show more

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Cited by 35 publications
(15 citation statements)
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“…Presently, however, only four rivers have maintained hydraulic connection. Three of these, the Aksu River, Yarkand River and Hotan River, have hydraulic connections with the upstream Tarim River (Xu et al, 2009a). The headwater catchment of the TRB, as shown in Figure 1, can be regarded as a single catchment with relatively independent hydrological units.…”
Section: Study Area Descriptionmentioning
confidence: 99%
“…Presently, however, only four rivers have maintained hydraulic connection. Three of these, the Aksu River, Yarkand River and Hotan River, have hydraulic connections with the upstream Tarim River (Xu et al, 2009a). The headwater catchment of the TRB, as shown in Figure 1, can be regarded as a single catchment with relatively independent hydrological units.…”
Section: Study Area Descriptionmentioning
confidence: 99%
“…In fact, the hydro-climatic processes with nonlinear mechanism in the arid region of Northwest China are very complicated systems (Xu et al 2010a, b), and relations between streamflow and climate factors are not understood thoroughly (Xu et al 2008a(Xu et al , 2009a. It is difficult to model the physical hydro-climatic process because of the difficulties to obtain extensive precise data on underlying surface by the grid method, whereas traditional statistical analysis cannot directly deal with the complicated nonlinear process of the hydro-climatic system (Xu et al 2008b(Xu et al , 2009b.…”
Section: Introductionmentioning
confidence: 99%
“…2) Both the functional mechanism and the system process are nonlinear. And 3) it is difficult to precisely forecast the occurrence of outbursts and emergence (Xu et al, 2009).…”
Section: Introductionmentioning
confidence: 99%