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perturbation

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perturbation
perturbation (pɜːtɜːˈbeɪʃən) [a. OF. perturbacion (14th c. in Littré), ad. L. perturbātiōn-em, n. of action f. perturbāre to perturb.] 1. The action of perturbing; the fact or condition of being perturbed; disturbance, disorder, commotion; mental agitation or disquietude; trouble.c 1374 Chaucer Boet... Oxford English Dictionary
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Perturbation
Perturbation or perturb may refer to: Perturbation theory, mathematical methods that give approximate solutions to problems that cannot be solved exactly Perturbation (geology), changes in the nature of alluvial deposits over time Perturbation (astronomy), alterations to an object's orbit (e.g., caused wikipedia.org
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perturbation
perturbation/ˌpɜ:təˈbeɪʃn; ˌpətɚ`beʃən/ n[U](fml 文) state of being perturbed; anxiety 不安; 烦扰; 忧虑. 牛津英汉双解词典
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Anger in brain and body: the neural and physiological perturbation of ...
Anger can facilitate motoric behaviour (Wilkowski and Meier, 2010), yet in our study the implicit viewing of anger raised mean reaction times to semantic decisions indicating an interference effect at the cognitive semantic level, rather than influencing the tuning of motor responses at a more distal level. Notably such interference is also ...
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Genetic Perturbation Platform | Broad Institute
The Genetic Perturbation Platform (GPP) aims to accelerate the field of functional genomics, which is the toolkit of experimental approaches for understanding gene function and how gene dysfunction leads to disease. To fulfill this mission, GPP collaborates with researchers throughout the Broad community and beyond to apply functional genomics ...
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Perturbation (astronomy)
In astronomy, perturbation is the complex motion of a massive body subjected to forces other than the gravitational attraction of a single other massive General perturbation methods are preferred for some types of problems, as the source of certain observed motions are readily found. wikipedia.org
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Perturbation (geology)
Soil perturbation that is not pedoturbation. Precipitation of surface salts also causes localized disruption of soils. Activity of bacteria is yet another important cause of perturbation in the geological record. wikipedia.org
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Perturbation Theory and $\delta J(v) = \langle DJ(v) \; , \; \delta v \rangle$? In my optimization course, we are talking about using perturbation theory on bilinear functionals and stuff. We were told to use the foll...
One way to define the gradient $DJ$ of a vector function $J(v)$ is according to the approximation $$J(v+\delta v)=J(v)+\langle DJ(v),\delta v\rangle + o(\delta v),$$ where $o(x)$ denotes a function that tends to $0$ as $x\to 0$. The notation $\delta J(v)$ suggests a small change in the function $J(v...
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Perturbation theory
) then the perturbation problem is called a singular perturbation problem. perturbation theory or second-order perturbation theory, and whether the perturbed states are degenerate, which requires singular perturbation. wikipedia.org
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Recommended graduate book for perturbation theory I'm mostly interested in perturbation theory for linear algebra problems (such as finding eigenvalues) but any book on the subject can help. Thanks.
The f The following classic text seems to be a perfect fit: Tosio Kato: " Perturbation Theory for Linear Operators " Springer
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Perturbation function
In some texts the value function is called the perturbation function, and the perturbation function is called the bifunction. Then is a perturbation function if and only if . wikipedia.org
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Response of eigenvalues under perturbation In this article about sensitivity of eigenvalues under perturbation, they represent the perturbation by replacing $A$ with $A + \delta A$. I thought $\delta$ was a scalar, bu...
"$\delta A$" is a single matrix-valued variable representing a perturbation to $A$.
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Phase perturbation
Phase perturbation is the shifting, from whatever cause, in the phase of an electronic signal. Phase perturbation may be expressed in degrees, with any cyclic component expressed in hertz. wikipedia.org
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Perturbation of ODE system I am trying to apply perturbation theory to this system to approximate $y_1(t)$, which is oscillatory when $y_1(0)$ is complex: $y'_1(t)=\epsilon y_2(t)+2y_1^2(t)$ $y'_2(t)=y_1(t)$ But th...
There is a second scale involved that is established by the magnitudes of the initial conditions. $y_1(0)$ is small against $y_2(0)$ and by the second equation that stays that way for some time. So in first order one can consider $y_2$ constant. Then apply the usual substitution for Riccati equation...
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Singular perturbation
For books on singular perturbation in ODE and PDE's, see for example Holmes, Introduction to Perturbation Methods, Hinch, Perturbation methods or Bender root, singular perturbation analysis must be used. wikipedia.org
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