搜索结果: 1-15 共查到“数学 perturbations”相关记录32条 . 查询时间(0.097 秒)
PIECEWISE SMOOTH PERTURBATIONS OF INTEGRABLE SYSTEMS
INTEGRABLE SYSTEMS PERTURBATIONS
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2015/9/29
We review several recent results showing that small piecewise smooth perturbations of integrable systems may exhibit unstable behavior on the set of initial condition
of large measure. We also presen...
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow
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2015/9/29
We study deterministic and stochastic perturbations of incompressible flows on
a two-dimensional torus. Even in the case of purely deterministic perturbations,
the long-time behavior of such &...
Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
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2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Metastability for Non-Linear Random Perturbations of Dynamical Systems
Quasi linear parabolic equation the small parameter the second order items
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2015/9/28
In this paper we describe the long time behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding di@...
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow Gluing Conditions Diffusion on a Graph
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2015/9/28
We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional torus. Even in the case of purely deterministic perturbations, the long-time behavior of such ...
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
second order expansion separatrix map for trigonometric perturbations priori unstable systems
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2015/9/25
In this paper we study a so-called separatrix map introduced by Zaslavskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02,Pif06, PT07]. We derive a second order expansion of this...
Two Initial Value Problems Approach for Solving Singular Perturbations Problems
Singular Perturbation Initial Value Problems Asymptotic Power Series Expansions
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2013/1/30
In this paper, we presented an initial value approach for solving singularly perturbed two point boundary value problems with the boundary layer at one end (left or right). By employing asymptotic pow...
Quantum Feynman-Kac perturbations
Quantum stochastic cocycle Markovian cocycle quantum stochastic flow one-parameter semigroup
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2012/3/1
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von Neumann algebras by ...
Unitary perturbations of compressed N-dimensional shifts
Hardy space model subspaces Aleksandrov disintegration theorem Clark’s unitary peturbations Aleksandrov-Clark measures
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2011/9/14
Abstract: Given a purely contractive matrix-valued analytic function $\Theta$ on the unit disc $\bm{D}$, we study the $\mc{U} (n)$-parameter family of unitary perturbations of the operator $Z_\Theta$ ...
Stability of exponential utility maximization with respect to market perturbations
exponential utility maximization market perturbations Portfolio Management
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2011/10/8
Abstract: We investigate the continuity of expected exponential utility maximization with respect to perturbation of the Sharpe ratio of markets. By focusing only on continuity, we impose weaker regul...
Global-in-time existence of perturbations around travelling-waves
nonlinear and nonlocal conservation law fractional anti-diffusive operator Duhamel formulation travelling-wave global-in-time existence
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2011/8/22
Abstract: We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-...
Normally Elliptic Singular Perturbations and Persistence of Homoclinic Orbits
Normally Elliptic Singular Perturbations Persistence of Homoclinic Orbits
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2011/1/14
We consider a dynamical system, possibly infinite dimensional or non-autonomous, with fast and slow time scales which is oscillatory with high frequencies in the fast directions. We first derive and j...
Outliers in the spectrum of iid matrices with bounded rank perturbations
Outliers spectrum of iid matrices bounded rank perturbations
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2011/2/24
It is known that if one perturbs a large iid random matrix by a bounded rank error, then the
majority of the eigenvalues will remain distributed according to the circular law. However, the bounded ra...
Perturbations and operator trace functions
Perturbations operator trace functions
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2011/2/21
We study the spectral functional A 7→ Tr f(D + A) for a suitable function f, a self-adjoint operator D having compact resolvent, and a certain class of bounded self-adjoint operators A.
Targetability of chaotic sets with small parameter perturbations
Chaotic set targetability Lie rank condition geometric control dynamical systems
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2010/12/28
In this paper targetability of chaotic sets with small controls is discussed by virtue of some results of geometric control theory. It is proved that given a chaotic set Λ, it is possible to steer a o...