1997
DOI: 10.1201/9781482295412
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Chaos Theory Tamed

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Cited by 396 publications
(243 citation statements)
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“…Methodological advancements such as sophisticated agent-based modeling (Chatfield, Kim, Harrison, & Hayya, 2004;Sawaya, 2006;Pathak, Dilts, & Biswas, 2007), cellular automata (Wolfram, 2002;Mizraji, 2004), dynamical systems theory (Surana et al, 2005), dynamic networks analysis (Carley, forthcoming), and empirical and case-study methods (Varga & Allen, 2006) have been applied to problems ranging from nursing and health care domains (Anderson, Issel, & McDaniel, 2003) to supply networks (Thadakamalla, Raghavan, Kumara, & Albert, 2004). Analysis techniques used within these articles include chaos theory (Strogatz, 1994), computational and statistical mechanics (Shalizi, 2001), and nonlinear time series methods (Williams, 1997). Table 1 summarizes some of these Lin and Shaw (1998), Swaminathan et al (1998); Tan (1999), Chatfield (2001), Iwanaga and Namatame (2002), Rivkin and Siggelkow (2002), Wolfram (2002), Anderson et al (2003), Skvoretz (2003), Stiller (2003) On careful examination, we note an interesting trend.…”
Section: New Developments In Cas and Their Applicability To Scm Researchmentioning
confidence: 99%
See 1 more Smart Citation
“…Methodological advancements such as sophisticated agent-based modeling (Chatfield, Kim, Harrison, & Hayya, 2004;Sawaya, 2006;Pathak, Dilts, & Biswas, 2007), cellular automata (Wolfram, 2002;Mizraji, 2004), dynamical systems theory (Surana et al, 2005), dynamic networks analysis (Carley, forthcoming), and empirical and case-study methods (Varga & Allen, 2006) have been applied to problems ranging from nursing and health care domains (Anderson, Issel, & McDaniel, 2003) to supply networks (Thadakamalla, Raghavan, Kumara, & Albert, 2004). Analysis techniques used within these articles include chaos theory (Strogatz, 1994), computational and statistical mechanics (Shalizi, 2001), and nonlinear time series methods (Williams, 1997). Table 1 summarizes some of these Lin and Shaw (1998), Swaminathan et al (1998); Tan (1999), Chatfield (2001), Iwanaga and Namatame (2002), Rivkin and Siggelkow (2002), Wolfram (2002), Anderson et al (2003), Skvoretz (2003), Stiller (2003) On careful examination, we note an interesting trend.…”
Section: New Developments In Cas and Their Applicability To Scm Researchmentioning
confidence: 99%
“…For example, many phenomena in supply networks occur over time, and it will be crucial to examine the evolution of the supply network over an extended time horizon. Such a behavior could be measured and depicted using attractors and the corresponding lags at which attractors are reconstructed (Williams, 1997). Furthermore, because phenomena in an evolving supply chain occur at different levels, they must be captured at the firm, topology, and systems levels.…”
Section: Challenges Of Theory Development With a Cas Perspectivementioning
confidence: 99%
“…The SSA method reconstructs signals in a k-dimensional phase space with time delay equal to one unit. The method is more sophisticated than the time delay method of [10], but it has the potential of providing more information. In the SSA method, after reconstructing a signal in a phase space, the signal is decomposed into several components.…”
Section: Ssa Methodsmentioning
confidence: 99%
“…Implicitly, this principle was adopted by Schumm (1973) when he introduced the idea of complex response. Phillips (1999b) states that there are at least three scale ranges where fundamental system behaviour differs: the sub-chaotic scale of deterministic mechanics; the unstable/ chaotic landscape scale and the broader scale defined by the inherent limits on divergent evolution (see Williams 1997). If our world is, in reality, stratified, there are philosophical issues which have scarcely been engaged by geomorphologists; Church et al (1999) used an empirical approach by combining fractality and theory hierarchy in their attempts to deal with spatially variable suspended sediment yields across Canada.…”
Section: A Stratified Geomorphological World?mentioning
confidence: 99%