منابع مشابه
Cosmological dynamics on the brane
In Randall-Sundrum-type brane-world cosmologies, the dynamical equations on the three-brane differ from the general relativity equations by terms that carry the effects of imbedding and of the free gravitational field in the fivedimensional bulk. Instead of starting from an ansatz for the metric, we derive the covariant nonlinear dynamical equations for the gravitational and matter fields on th...
متن کاملPost{newtonian Cosmological Dynamics
The non{linear dynamics of self{gravitating collisionless matter with vanishing vorticity is studied in a general relativistic framework, using synchronous and comoving (i.e. Lagrangian) coordinates. Writing the equations in terms of the metric tensor of the spatial sections orthogonal to the uid ow allows an unambiguous expansion in inverse powers of the speed of light. The Newtonian and post{...
متن کاملMultiscale cosmological dynamics
Multiscale systems are characterized by intricate dynamics which couple several different time or space scales. Nevertheless, in many instances it is possible to obtain an effective dynamics governing the evolution of a multiscale system on a larger scale by averaging the full exact dynamics on smaller scales. Examples range from economics [1] to biophysics [2] and include turbulence [3] and qu...
متن کاملOn Some Triads of Homothetic Triangles
To a given reference triangle Δ and three directions α, β, γ we construct four triads of homothetic triangles and investigate relations between their homothetic centers, centroids, midway triangles, medial triangles and areas. 1. Two triads of homothetic triangles Given an arbitrary triangle Δ = ABC with sidelines a, b, c and an ordered set {α, β, γ} of three directions in the plane of Δ. Let p...
متن کاملConstrained Reference Tracking based on Homothetic Sets
In this paper, we consider the problem of constrained tracking of piecewise constant references for nonlinear dynamical systems. In the considered problem we assume that an existing controller satisfies constraints in a corresponding positive-invariant set of the system. To solve the problem we propose the use of homothetic transformations of the positive-invariant set to modify the existing co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2003
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/20/23/005