phase-plane portrait - translation to russian
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phase-plane portrait - translation to russian

VISUAL REPRESENTATION USED IN NON-LINEAR CONTROL SYSTEM ANALYSIS
Phase plane method
  • autonomous system]].<ref name="Jordan, Smith"/> These profiles also arise for non-linear autonomous systems in linearized approximations.

phase-plane portrait      

общая лексика

фазовый портрет

portraitist         
  • funeral portrait]] of a young boy
  • Moche]] ceramic portrait. [[Larco Museum]] Collection. Lima-Peru
  • [[Plastered skull]], [[Tell es-Sultan]], [[Jericho]], [[Pre-Pottery Neolithic B]], circa 9000 BC
ARTISTIC REPRESENTATION OF ONE OR MORE PERSONS
Portraiture; Portraits; Portraitist; Portrait format; Portaiture; Celebrity portrait; Ritratto; Official portrait

['pɔ:tritist]

существительное

общая лексика

фотограф-портретист

портретист

синоним

portrait-painter

portrait         
  • funeral portrait]] of a young boy
  • Moche]] ceramic portrait. [[Larco Museum]] Collection. Lima-Peru
  • [[Plastered skull]], [[Tell es-Sultan]], [[Jericho]], [[Pre-Pottery Neolithic B]], circa 9000 BC
ARTISTIC REPRESENTATION OF ONE OR MORE PERSONS
Portraiture; Portraits; Portraitist; Portrait format; Portaiture; Celebrity portrait; Ritratto; Official portrait

['pɔ:trit]

общая лексика

портретный, вертикальный, книжный

портрет

Смотрите также

portrait mode; generalized portrait; phase portrait; phase-plane portrait

существительное

общая лексика

портрет

живое описание

изображение

характеристика (в словах)

образ

тип

описание

Definition

фаза
1. ж.
1) Период, стадия, этап в развитии чего-л.
2) Само положение, форма чего -л. в данный момент; фазис.
2. ж.
Величина, характеризующая состояние какого-л. процесса в каждый момент времени (в физике).
3. ж.
Однородная часть какой-л. неоднородной системы (в химии).
4. ж.
Отдельная группа обмоток генератора, а также присоединенный к ней провод, передающий электрический ток (в электротехнике).

Wikipedia

Phase plane

In applied mathematics, in particular the context of nonlinear system analysis, a phase plane is a visual display of certain characteristics of certain kinds of differential equations; a coordinate plane with axes being the values of the two state variables, say (x, y), or (q, p) etc. (any pair of variables). It is a two-dimensional case of the general n-dimensional phase space.

The phase plane method refers to graphically determining the existence of limit cycles in the solutions of the differential equation.

The solutions to the differential equation are a family of functions. Graphically, this can be plotted in the phase plane like a two-dimensional vector field. Vectors representing the derivatives of the points with respect to a parameter (say time t), that is (dx/dt, dy/dt), at representative points are drawn. With enough of these arrows in place the system behaviour over the regions of plane in analysis can be visualized and limit cycles can be easily identified.

The entire field is the phase portrait, a particular path taken along a flow line (i.e. a path always tangent to the vectors) is a phase path. The flows in the vector field indicate the time-evolution of the system the differential equation describes.

In this way, phase planes are useful in visualizing the behaviour of physical systems; in particular, of oscillatory systems such as predator-prey models (see Lotka–Volterra equations). In these models the phase paths can "spiral in" towards zero, "spiral out" towards infinity, or reach neutrally stable situations called centres where the path traced out can be either circular, elliptical, or ovoid, or some variant thereof. This is useful in determining if the dynamics are stable or not.

Other examples of oscillatory systems are certain chemical reactions with multiple steps, some of which involve dynamic equilibria rather than reactions that go to completion. In such cases one can model the rise and fall of reactant and product concentration (or mass, or amount of substance) with the correct differential equations and a good understanding of chemical kinetics.

What is the Russian for phase-plane portrait? Translation of &#39phase-plane portrait&#39 to Russian