phase space

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.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Noun

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

spazio delle fasi

Mentioned in

References in periodicals archive

He then surveys the key concepts and results to emerge from dynamical systems: Chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors.

What We Are Reading Today: Chaos and Dynamical Systems by David P. Feldman

Among his topics are from waves to particles, a heuristic approach to quantum modeling, quantum postulates and their mathematical artillery, and phase space classical mechanics.

Application-Driven Quantum and Statistical Physics: A Short Course for Future Scientists and Engineers; Volume 1: Foundations

These differences (delta X, delta Y and delta Z) are needed to compute the diagonal of the cuboid in the phase space, which represents the distance in the electric field expressed in millivolts.

IN SEARCH FOR REAL-TIME NONINVASIVE ASSESSMENT OF MUSCLE FATIGUE DURING EXERTION: CAN DISPERSION OF HIGH-RESOLUTION MUSCLE ELECTRIC ACTIVITY DATA PROVIDE NEW INSIGHTS?

For a subset of a few million stars, Gaia provided an estimate of the full three-dimensional velocities, allowing a study of stellar motion using the combination of position and velocity, which is known as 'phase space'.

Gaia Hints at Our Galaxy's Turbulent Life

The author develops a representation framework using phase space to characterize precisely causal relata, including their degree(s) of counterfactual robustness, causal profiles, causal connectivity, and privileged grain size.

THE JOURNAL OF PHILOSOPHY: Vol. 114, No. 11, November 2017

AAM anomalies, AAM time tendency, RMM1, and RMM2 were used to construct GWO and MJO phase space diagrams for each of the anomalous seasons.

An Analysis of Anomalous Winter and Spring Tornado Frequency by Phase of the El Nino/Southern Oscillation, the Global Wind Oscillation, and the Madden-Julian Oscillation

According to Table 1, Figure 1 shows the dynamical behaviors and phase space trajectory of the prey, middle predator, and top predator fish populations against time, beginning with the initial values x(0) = 0.01, y(0) = 0.01, and z(0) = 0.01.By Figure 1 we find that the steady state point [P.sub.1] is unstable, and more precisely this point tends to the point [P.sup.*].

The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations

The 4D phase space has two dimensions of space, and two of spatial frequency.

VIBRATIONAL FOUNDATIONS OF MENTAL MORPHOGENESIS

This one-dimensional signal has to be modelled in an m-dimensional phase space or state space (Rm).

Can Chaotic Analysis of Electroencephalogram Aid the Diagnosis of Encephalopathy?