On the stability of the solution for multiobjective generalized games with the payoffs perturbed

2010 ◽  
Vol 73 (8) ◽  
pp. 2680-2685 ◽  
Author(s):  
Q.Q. Song ◽  
L.S. Wang
Keyword(s):  
Generalized Games ◽  
The Stability ◽  
Multiobjective Generalized Games ◽  
Stability Of The Solution

scholarly journals An interior solution with perfect fluid

2020 ◽  
Vol 35 (17) ◽  
pp. 2050141 ◽  
Author(s):  
Joaquin Estevez-Delgado ◽  
Jose Vega Cabrera ◽  
Joel Arturo Rodriguez Ceballos ◽  
Arthur Cleary-Balderas ◽  
Mauricio Paulin-Fuentes
Keyword(s):  
Perfect Fluid ◽  
Speed Of Sound ◽  
Numerical Data ◽  
Index Formula ◽  
Interior Solution ◽  
Radial Coordinate ◽  
Speed Of Light ◽  
Bounded Functions ◽  
The Stability ◽  
Stability Of The Solution

Starting from the construction of a solution for Einstein’s equations with a perfect fluid for a static spherically symmetric spacetime, we present a model for stars with a compactness rate of [Formula: see text]. The model is physically acceptable, that is to say, its geometry is non-singular and does not have an event horizon, pressure and speed of sound are bounded functions, positive and monotonically decreasing as function of the radial coordinate, also the speed of sound is lower than the speed of light. While it is shown that the adiabatic index [Formula: see text], which guarantees the stability of the solution. In a complementary manner, numerical data are presented considering the star PSR J0737-3039A with observational mass of [Formula: see text], for the value of compactness [Formula: see text], which implies the radius [Formula: see text] and the range of the density [Formula: see text] [Formula: see text], where [Formula: see text] and [Formula: see text] are the central density and the surface density, respectively. This range is consistent with the expected values; as such, the model presented allows to describe this type of stars.

scholarly journals Dynamics of a Discretization Physiological Control System

2007 ◽  
Vol 2007 ◽  
pp. 1-16 ◽  
Author(s):  
Xiaohua Ding ◽  
Huan Su
Keyword(s):  
Control System ◽  
Discrete System ◽  
Numerical Results ◽  
Positive Equilibrium ◽  
Hopf Bifurcations ◽  
Physiological Control ◽  
Midpoint Rule ◽  
The Stability ◽  
Stability Of The Solution

We study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution of the discrete system and calculate the direction of the Hopf bifurcations. The numerical results are presented.

Confined Buckling Analysis of a Viscoelastic Ring Subjected to Constant Temperature Difference

2011 ◽  
Vol 295-297 ◽  
pp. 1804-1810 ◽  
Author(s):  
Min Yang ◽  
Shi Fu Xiao
Keyword(s):  
Galerkin Method ◽  
Critical Load ◽  
Constant Temperature ◽  
Temperature Difference ◽  
Evolutionary Trend ◽  
Buckling Behavior ◽  
Viscoelastic Theory ◽  
Confined Buckling ◽  
The Stability ◽  
Stability Of The Solution

Based on Boltzmann’s viscoelastic theory, the confined buckling behavior of a viscoelastic ring subjected to constant temperature difference is investigated by assumed modes method, Galerkin method and numeric method. The critical load and the stability of the solution are investigated. The evolutionary trend of the system is also analyzed.

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