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Solvability Conditions at Equilibrium Points

AIAA/AAS Astrodynamics Specialist Conference, 2010
A modified differential correction method is introduced to generate Lyapunov periodic orbits at collinear equilibrium points in the planar restricted three body problem. An intermediate step in which an update for initial velocity is obtained from the Jacobi integral equation is added to the correction process.
Mohammed Ghazy, Brett Newman
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Perfect Equilibrium Points and Lexicographic Domination

International Journal of Game Theory, 1988
\textit{R. Selten}'s concept of ``perfect equilibrium'' [Int. J. Game Theory 4, 25-55 (1975; Zbl 0312.90072)] is compared with the author's new concept of ``lexicographic undominated'' mixed strategy for non- cooperative games in normal form. It is shown that, in general, perfect equilibria are lexicographically undominated, but the converse is not ...
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Equilibrium points of Infinite Sequential Truels

International Journal of Game Theory, 1977
Infinite Sequential Truels are studied in the case when the players' duel values are preassigned parameters, rather than functions of the marksmanships. Such truels divide naturally into two classes, one of which includes all Infinite Sequential Truels investigated previously. All equilibrium points of all truels are determined.
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Equilibrium-Point Hypothesis

Abstract The equilibrium-point (EP) hypothesis assumes that the neural control of a muscle is adequately described as a change in the stretch reflex threshold (λ) leading to a shift of the EP—a combination of muscle length and force when it is in equilibrium with the external load.
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Lifshitz Points: Strongly Anisotropic Equilibrium Critical Points

2010
In the previous chapters, we discussed ageing phenomena in non-equilibrium systems far from stationarity where obviously time plays a special role. Consequently, one way of looking at these ageing systems is to consider them as strongly anisotropic systems where the time-direction is fundamentally different to the spatial directions.
Malte Henkel, Michel Pleimling
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Fixed Point and Equilibrium

2016
This chapter summarizes the modern theory of fixed point and equilibrium. Based on the concept of ɛ-approximate minimum, Ekeland variational principle is established first, along with Caristi fixed point theorem, and Nadler contraction theorem for set-valued maps.
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Equilibrium Points for Open Acyclic Relations

Canadian Journal of Mathematics, 1967
A formulation of a fixed point theorem, which can be applied conveniently to non-cooperative games and cooperative games, is suggested in this note.Let N1, … , Nm be m non-empty, finite disjoint sets. For k = 1, … , m we denote by Sk the simplex the coordinates of whose points are indexed by the members of Nk; thus Sk is the collection of all real ...
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Reflective Equilibrium and Archimedean Points

Canadian Journal of Philosophy, 1980
In ATheory of Justice,John Rawls defines a hypothetical contract situation and argues rational people will agree on reflection it is fair to contractors. He solves the rational choice problem it poses by deriving two lexically-ordered principles of justice and suggests the derivation justifies the principles.
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Stability of Equilibrium Points

2000
Let us consider a physical system whose states x are described by an evolution differential system $$\frac{{dx}}{{dt}}$$ = X(x). The fixed points of the flow of the vector field X, i.e., the zeros of X, are the equilibrium points of the system.
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