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2008
DOI: 10.1080/03050620802574887
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In Search of Structure: The Nonlinear Dynamics of Power Transitions

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Cited by 11 publications
(7 citation statements)
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“…Given the subject’s inherently dynamic structure, we employ a system of asymmetric, coupled nonlinear differential equations to model HD theory. These types of models have been successfully employed in diverse physical as well as in social science settings, from electoral politics (Przeworski and Sprague 1986) to international conflict (Richardson 1960; Zinnes and Muncaster 1984; Kadera 2001; Abdollahian and Kang 2008; Abdollahian, Baranick, Nicholson, and Nickens 2008), and the mathematical theory of both linear and nonlinear differential equations is complete (Boyce and Diprima 2007).…”
Section: Toward a Formal Representationmentioning
confidence: 99%
“…Given the subject’s inherently dynamic structure, we employ a system of asymmetric, coupled nonlinear differential equations to model HD theory. These types of models have been successfully employed in diverse physical as well as in social science settings, from electoral politics (Przeworski and Sprague 1986) to international conflict (Richardson 1960; Zinnes and Muncaster 1984; Kadera 2001; Abdollahian and Kang 2008; Abdollahian, Baranick, Nicholson, and Nickens 2008), and the mathematical theory of both linear and nonlinear differential equations is complete (Boyce and Diprima 2007).…”
Section: Toward a Formal Representationmentioning
confidence: 99%
“…Another is to tackle far-from-equilibrium challenges by exploring the full dynamic characteristics of both societal systems and individuals. Key will be identifying behavioral symmetry breaks and formally testing for catastrophic or chaotic responses (Wolf et al 1985) to economic, cultural, social and political crisis (Abdollahian and Kang 2008), coupling or decoupling. One approach is to endogenize perturbations and shocks across Y, RS, SE and D values and agent space, to map equilibrium stability and system phase transitions.…”
Section: Discussionmentioning
confidence: 99%
“…It was adopted in the correct prediction of the rise of China and India to major power status by Wilson and Purushothaman (2003), Maddison (2003), Organski (1958) and Fogel (2007). Other successful application of PT includes Kang and Kugler's integrated formal deterrence structure using a game theoretic approach (Kang and Kugler, 2007), Abdollahian and Kang's analysis of conflict in multiple level among subnational, national and regional actors (Abdollahian and Kang, 2008), Alsharabati and Kugler's theorization on the stability of deterrence building (Alsharabati and ), Abdollahian's development of a system of nonlinear differential equations to simulate the structural conditions that lead to inter-state conflict or co-operation (Abdollahian, 1996) among other breakthrough in scholarship (Coan and Kuglar, 2008;Arbetman-Rabinwitz and Johnson, 2008;Feng et al, 2008). Recognizing PT as a powerful framework of analysis Dicocco and Levy concluded that PT is a lively and expanding research program that has moved forward in several important substantive directions .…”
Section: The Theoretical Foundation Of the Uyo Schoolmentioning
confidence: 99%
“…1. The variables here are PT's established components of national power which are political capacity, economic capacity and demography (see, Abdollahian and Kang 2008;Tammen et al 2000 among others) 2. In the taxonomy of the Uyo School the concept of 'power forgone' is used to refer to the amount of national power as tate is willing to sacrifice at a particular time as are sult of a terrorist threat or attack in the process of Table 1.…”
Section: Endnotesmentioning
confidence: 99%