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Vector-CM Stable Equilibrium Analysis

by Azzdine Touzni Lang, Lang Tong, Raúl A. Casas, C. Richard Johnson - IEEE Signal Processing Letters , 2000
"... The vector-constant modulus (VCM) criterion is an extension of the constant modulus (CM) criterion [2] introduced recently for equalization of channels involving Gaussian sources [1], [5]. In this letter, we analyze the behavior of VCM for arbitrary source distributions and combined channel-receiver ..."
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continue by providing conditions for noise-free channels, under which VCM admits stable minima corresponding to zero-forcing (ZF) channel receivers. We find that for sub-Gaussian sources, the VCM and CM criteria share the same global minima. For Gaussian and super-Gaussian sources, however, it appears

Metastable and stable equilibrium states of stellar

by F. Ferro A, A. Lavagno A, P. Quarati A , 2005
"... electron-nuclear plasmas ..."
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electron-nuclear plasmas

3. THEOREMS RELATED TO THE STABLE-EQUILIBRIUM POSTULATE

by George N. Hatsopoulos, Elias P. Gyftopoulos , 1975
"... Part H of this three-part paper presents ome of the most important heorems that can be deduced from the four postulates of the unified theory discussed in Part L In Part IIa, it is shown that the maximum energy that can be extracted adiabatically from any system in any state is solely a function of ..."
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of the density operator ~ associated with the state. Moreover, it is shown that for any state of a system, noneqmTibrium, equilibrium or stable equilibrium, a unique property S exists which is proportional to the total energy of the system minus the maximum energy that can be extracted adiabatically from

P-STABLE EQUILIBRIUM: DEFINITION AND SOME PROPERTIES

by Gabriel Desgranges, Sayantan Ghosal , 2010
"... We define a continuous index of strategic stability, p stability, which requires equilibrium to be the unique outcome compatible with common knowledge of rationality and common knowledge of p beliefs (beliefs that put probability at least p on the equilibrium profile). We show that every equilibrium ..."
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equilibrium (within a large class) is p-stable for some p < 1 and justify, in smooth settings, the intuition that the slope of the best response map is related to the stability of equilibrium. We show that adding incomplete information on fundamentals could decrease the degree of strategic stability

No Anomalous Fluctuations Exist in Stable Equilibrium Systems

by V. I. Yukalov , 2006
"... A general theorem is rigorously proved for the case, when an observable is a sum of linearly independent terms: The dispersion of a global observable is normal if and only if all partial dispersions of its terms are normal, and it is anomalous if and only if at least one of the partial dispersions i ..."
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is anomalous. This theorem, in particular, rules out the possibility that in a stable system with Bose-Einstein condensate some fluctuations of either condensed or noncondensed particles could be anomalous. The conclusion is valid for arbitrary systems, whether uniform or nonuniform, interacting weakly

Sprott E system with only one stable equilibrium

by Turk J Math, Zhouchao Wei, Irene Moroz, Anping Liu
"... Degenerate Hopf bifurcations, hidden attractors, and control in the extended ..."
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Degenerate Hopf bifurcations, hidden attractors, and control in the extended

TCP network game: conditions for evolutionary stable equilibrium

by Oleksii Ignatenko
"... ..."
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STABLE EQUILIBRIUM ORIENTATION OF A SPACECRAFT WHICH CONTAINS A MOMENTUM WHEEL

by U. Beusch, Franklin C. Hudson , 1967
"... The orientation of a spacecraft when it is in a stable equilibrium state is studied. The spacecraft contains a single momentum wheel which stores angular momentum. The axis of the wheel is not necessarily parallel to a principal axis of the spacecraft. For an arbitrary but fixed speed of the wheel r ..."
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The orientation of a spacecraft when it is in a stable equilibrium state is studied. The spacecraft contains a single momentum wheel which stores angular momentum. The axis of the wheel is not necessarily parallel to a principal axis of the spacecraft. For an arbitrary but fixed speed of the wheel

Stable equilibrium based on Lévy statistics: Stochastic collision models approach, Phys

by Eli Barkai - Rev. E, Rapid Communications
"... To obtain further insight on possible power law generalizations of Boltzmann equilibrium concepts, we consider stochastic collision models. The models are a generalization of the Rayleigh collision model, for a heavy one dimensional particle M interacting with ideal gas particles with a mass m°M. Si ..."
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function of the heavy particle is Lévy stable, the Maxwellian distribution being a special case. We demonstrate our results with numerical examples. The relation of the power law equilibrium obtained here to thermodynamics is discussed. In particular we compare between two models: a thermodynamic

Foams Out of Stable Equilibrium: Cell Elongation and Side Swapping

by F. Elias, C. Flament, J. A. Glazier, F. Graner, Y. Jiang, Universit Paris, Denis Diderot
"... The evolution of a liquid foam usually mixes quasi-equilibrium topological and geometrical features in an intricate way. We take advantage of special properties of ferrofluid froths and of constrained area evolution simulations, to distinguish the effects of side swapping (T1 processes) from other r ..."
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The evolution of a liquid foam usually mixes quasi-equilibrium topological and geometrical features in an intricate way. We take advantage of special properties of ferrofluid froths and of constrained area evolution simulations, to distinguish the effects of side swapping (T1 processes) from other
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