phase space


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Related to phase space: Liouville's theorem

phase space

n.
A multidimensional representation of a dynamical system in which each dimension corresponds to one variable of the system. Thus, a point of phase space corresponds to a specific state of the system, and a path represents the evolution of the system through different states.
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Noun1.phase space - (physics) an ideal space in which the coordinate dimensions represent the variables that are required to describe a system or substance; "a multidimensional phase space"
infinite, space - the unlimited expanse in which everything is located; "they tested his ability to locate objects in space"; "the boundless regions of the infinite"
natural philosophy, physics - the science of matter and energy and their interactions; "his favorite subject was physics"
dynamical system - (physics) a phase space together with a transformation of that space
Translations
References in periodicals archive ?
i](m+1) is the i vector in (m + 1) dimension reconstructed phase space.
At asymmetrical load using the method of symmetrical components does not give any advantages over the phase space components.
The mathematical challenges are: multiscale analysis of PDE having different properties in different directions of the phase space, including nonlocal terms (scattering, competition), and possibly lacking basic features of reaction-diffusion equations such as the maximum principle.
So, in addition to astronomical amounts of data, the phase space that the data occupy will have thousands of dimensions.
A second dream reveals loops made of strings, informing that magnetism occurs at the loop's midpoint, thereby suggesting the one unique point in a phase space of a dynamical system.
Multiscale Time Irreversibility Index in m-Dimensional Phase Space
These, in turn, continue to explore the phase space and evolve.
In what follows we address the strong wavefront distortion limit N [much greater than] 1: we reduce the problem of speckle intensity distribution to the problem of turbulent mixing by incompressible velocity field in six-dimensional phase space.
The nine contributions that make up the main body of the text are devoted to a variety of related subjects, including the atmospheric wave/turbulence jigsaw, the possible role of constraints in MHD turbulence, the dynamics of structures in configuration space and phase space, and many others.
This means the Lyapunov function decreases monotonically until it reaches global minimum ceq of the phase space.
In multivariate analysis in eight-dimensional phase space echocardiographic parameters in patients from the main group during the treatment parameters of quasi-attractors much greater extent than in those in the control group decreased: asymmetry index decreased from 7.
The process of reconstructing the phase space is commonly referred to as embedding.