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Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes
gauge-invariant variables linear-order metric perturbations background spacetimes
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2011/3/2
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...
Perturbations of C1-diffeomorphisms and dynamics of generic conservative diffeomorphisms of surface
C1-diffeomorphisms dynamics generic conservative diffeomorphisms of surface
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2010/11/24
In the first part of this text we give a survey of the properties satisfied by the C1-generic conservative diffeomorphisms of compact surfaces. The main result that we will discuss is that a C1-generi...
On the number of limit cycles in quadratic perturbations of quadratic codimension four centers
limit cycles quadratic codimension four centers
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2010/11/15
This paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of quadratic codimension-four centers $Q_4$. Gavrilov and Iliev set an upper bound of {\it eight} for th...
Perturbations of planar algebras
Planar Algebras Bicategories Subfactors
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2010/11/26
We introduce the concept of weight of a planar algebra P and construct a new planar algebra
referred as the perturbation of P by the weight. We establish a one-to-one correspondence between pivotal s...
Global-in-time Uniform Convergence for Linear Hyperbolic-Parabolic Singular Perturbations
Parabolic equations Damped hyperbolic equations Singular perturbations
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2007/12/12
We consider the Cauchy problem ${\varepsilon}{u_{\ep}}''+\delta{u_{\ep}}'+A{u_{\varepsilon}}=0,$ ${u_{\varepsilon}}(0)=u_0, $ ${u_{\varepsilon}}'(0)=u_{1},$ where ${\varepsilon}>0$, $\delta>0$, $H$ is...