Some Applications of Homogeneous Dynamics to Number Theory

Dynamic system of strategic games

Maybe an event can't be modeled completely through one game but there is more chance with several games. With emphasis on players' rationality, we present new properties of strategic games, which result in production of other games. Here, a new attitude to modeling will be presented in game theory as dynamic system of strategic games and its some applications such as analysis of the clash betwe...

A concise review of nano-plates

Recent works done by nano-engineers and nano-sciences about mechanical behavior of nano-plates including bending, buckling and vibration response were reviewed. The authors used non-classical elasticity theories to explain these behaviors of plate structures. Some of them employed Hamilton’s principle along with stain gradient theory, nonlocal theory, surface theory and couple stress theory to ...

Normal forms of Hopf Singularities: Focus Values Along with some Applications in Physics

This paper aims to introduce the original ideas of normal form theory and bifurcation analysis and control of small amplitude limit cycles in a non-technical terms so that it would be comprehensible to wide ranges of Persian speaking engineers and physicists. The history of normal form goes back to more than one hundreds ago, that is to the original ideas coming from Henry Poincare. This tool p...

Existence solutions for new p-Laplacian fractional boundary value problem with impulsive effects

Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...

Dynamics of Subgroup Actions on Homogeneous Spaces of Lie Groups and Applications to Number Theory

روش‌های مدل‌سازی تطوری در اقتصاد (با تاکید بر عناصر مشترک سازنده آنها)

In this paper we have tried mention to some sort of thewell-known evolutionary modeling approaches in economic territory such as Multi Agent simulations, Evolutionary Computation and Evolutionary Game Theory. As it has been mentioned in the paper, in recent years, the number of Evolutionary contributions applied to Multi-Agent models increased remarkably. However until now there is no consensus...