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Hegemonic stability theory (HST) is a theory of international relations, rooted in research from the fields of political science, economics, and history. HST indicates that the international system is more likely to remain stable when a single state is the dominant world power, or hegemon . [ 1 ]
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation , for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature ...
Hegemonic stability theory Robert Gilpin ( / ˈ ɡ ɪ l p ɪ n / ; July 2, 1930 – June 20, 2018 [ 1 ] [ 2 ] ) was an American political scientist . He was Professor of Politics and International Affairs at the Woodrow Wilson School of Public and International Affairs at Princeton University where he held the Eisenhower professorship.
In ecology, the theory of alternative stable states (sometimes termed alternate stable states or alternative stable equilibria) predicts that ecosystems can exist under multiple "states" (sets of unique biotic and abiotic conditions). These alternative states are non-transitory and therefore considered stable over ecologically-relevant timescales.
A dividing line is a property of a theory such that both it and its negation have strong structural consequences; one should imply the models of the theory are chaotic, while the other should yield a positive structure theory. Stability was the first such dividing line in the classification theory program, and since its failure was shown to ...
Regime theory may appear to counter hegemonic stability theory sometimes, but realists also apply it within regime theory in order to explain change. When used in this way, realists conclude that a strong hegemon is what makes for a successful—i.e., robust, resilient—regime.
The mathematical theory of stability of motion, founded by A. M. Lyapunov, considerably anticipated the time for its implementation in science and technology. Moreover Lyapunov did not himself make application in this field, his own interest being in the stability of rotating fluid masses with astronomical application.
An evolutionarily stable state is a dynamic property of a population that returns to using a strategy, or mix of strategies, if it is perturbed from that initial state. It is part of population genetics, dynamical system, or evolutionary game theory. This is now called convergent stability. [11]