• In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time-dependent...
    2 KB (250 words) - 11:21, 22 July 2021
  • Thumbnail for Phase space
    The phase space of a physical system is the set of all possible physical states of the system when described by a given parameterization. Each possible...
    18 KB (2,123 words) - 04:26, 6 February 2025
  • The phase-space formulation is a formulation of quantum mechanics that places the position and momentum variables on equal footing in phase space. The...
    27 KB (3,606 words) - 23:58, 23 July 2025
  • dynamical system is a partition of the phase space. Understanding the properties of orbits by using topological methods is one of the objectives of the modern...
    7 KB (1,071 words) - 21:13, 19 March 2025
  • can exist Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which...
    4 KB (548 words) - 13:42, 22 May 2025
  • method and the method of steepest descent, but Laplace's contribution precedes the others. The main idea of stationary phase methods relies on the cancellation...
    10 KB (1,812 words) - 07:39, 25 December 2024
  • Thumbnail for KPP–Fisher equation
    wave solutions and analysis of their properties is often done by the phase space method. In the same year (1937) as Fisher, Kolmogorov, Petrovsky and Piskunov...
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  • the peak location from phase characteristics in Fourier space without the inverse transformation, as noted by Stone. These methods usually use a linear...
    11 KB (1,774 words) - 02:42, 28 December 2024
  • Thumbnail for Reaction–diffusion system
    Reaction–diffusion system (category Functions of space and time)
    dynamics. Autowave Diffusion-controlled reaction Chemical kinetics Phase space method Autocatalytic reactions and order creation Pattern formation Patterns...
    29 KB (3,614 words) - 10:26, 4 July 2025
  • Thumbnail for Optical phase space
    an optical phase space is a phase space in which all quantum states of an optical system are described. Each point in the optical phase space corresponds...
    15 KB (2,494 words) - 13:26, 6 May 2024
  • Thumbnail for Physiological relevance
    and Degradation Properties of Multilayered Polymer Scaffolds: The Phase Space Method for Bile Duct Design and Bioengineering". Biomedicines. 11 (3): 745...
    7 KB (755 words) - 07:34, 26 July 2025
  • Thumbnail for Phases of ice
    properties. In space, amorphous ice is the most common form as confirmed by observation. Thus, it is theorized to be the most common phase in the universe...
    137 KB (15,381 words) - 14:21, 23 July 2025
  • expectation value of an operator in Hilbert space and the expectation value of its associated function in the phase space formulation with respect to a quasiprobability...
    4 KB (621 words) - 19:16, 14 December 2023
  • Thumbnail for Phase 10
    complete the phase. If you land on a twist phase you can decide to play a twist phase or one of the phases on either side of the twist phase space. If you...
    29 KB (4,876 words) - 11:28, 23 July 2025
  • Thumbnail for Phase diagram
    temperature. The phase diagram shows, in pressure–temperature space, the lines of equilibrium or phase boundaries between the three phases of solid, liquid...
    22 KB (2,528 words) - 18:18, 29 July 2025
  • healthy lungs where the alveolar dead space is small, Fowler's method accurately measures the anatomic dead space using a single breath nitrogen washout...
    16 KB (2,227 words) - 12:58, 2 July 2024
  • Phase-contrast imaging is a method of imaging that has a range of different applications. It measures differences in the refractive index of different...
    27 KB (3,950 words) - 09:34, 30 June 2025
  • Thumbnail for Three-phase electric power
    neutral return wire) and is the most common method used by electrical grids worldwide to transfer power. Three-phase electrical power was developed in the 1880s...
    57 KB (6,619 words) - 02:23, 28 July 2025
  • Retrieved October 25, 2014. Tracy, E. (2014). Ray Tracing and Beyond: Phase Space Methods in Plasma Wave Theory. Cambridge University Press. doi:10.1017/CBO9780511667565...
    17 KB (1,944 words) - 01:19, 2 August 2025
  • control (DTC) is one method used in variable-frequency drives to control the torque (and thus finally the speed) of three-phase AC electric motors. This...
    16 KB (1,883 words) - 19:39, 15 November 2024
  • Thumbnail for Phased array
    Beam Antennas for Space Applications Principle of Phased Array 'Phased Array' microphone system of Tony Faulkner Principles of Phased Array systems - Tutorial...
    50 KB (5,633 words) - 04:29, 15 July 2025
  • A lunar phase or Moon phase is the apparent shape of the Moon's day and night phases of the lunar day as viewed from afar. Because the Moon is tidally...
    29 KB (3,085 words) - 15:05, 30 July 2025
  • Thumbnail for Probabilistic roadmap
    subset of the space can "see" a large fraction of its complement, then the planner will find a path quickly. The invention of the PRM method is credited...
    4 KB (458 words) - 22:01, 23 February 2024
  • Particle-in-cell (redirect from PIC method)
    (or fluid elements) in a Lagrangian frame are tracked in continuous phase space, whereas moments of the distribution such as densities and currents are...
    31 KB (3,423 words) - 14:43, 8 June 2025
  • Thumbnail for Finite element method
    complex problems. FEM is a general numerical method for solving partial differential equations in two- or three-space variables (i.e., some boundary value problems)...
    60 KB (7,787 words) - 09:24, 15 July 2025
  • Thumbnail for Wigner quasiprobability distribution
    appears in the Schrödinger equation to a probability distribution in phase space. It is a generating function for all spatial autocorrelation functions...
    38 KB (5,290 words) - 22:26, 28 May 2025
  • Thumbnail for Phase portrait
    curve. Phase portraits are an invaluable tool in studying dynamical systems. They consist of a plot of typical trajectories in the phase space. This reveals...
    5 KB (327 words) - 23:41, 28 December 2024
  • Phase-shift keying (PSK) is a digital modulation process which conveys data by changing (modulating) the phase of a constant frequency carrier wave. The...
    42 KB (6,226 words) - 18:36, 8 July 2025
  • preservation of the symplectic form on phase space, at no significant additional computational cost over the simple Euler method. For a second-order differential...
    28 KB (5,526 words) - 10:52, 31 July 2025
  • classical statistical and Hamiltonian mechanics. It asserts that the phase-space distribution function is constant along the trajectories of the system—that...
    25 KB (4,046 words) - 15:56, 2 April 2025