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    Phase space - Wikipedia

    In dynamical systems theory and control theory, a phase space or state space is a space in which all possible "states" of a dynamical system or a control system are represented, with each possible state corresponding to one unique point in the phase space. For mechanical systems, the phase space usually … 詳細

    In a phase space, every degree of freedom or parameter of the system is represented as an axis of a multidimensional space; a one-dimensional system is called a phase line, while a two-dimensional system is called a 詳細

    Applications 画像

    Phase integral
    In classical statistical mechanics (continuous energies) the concept of phase space provides a classical analog to the partition function (sum over states) known as the phase integral. Instead of summing the Boltzmann … 詳細

    Phase portrait 画像
    In low dimensions 画像

    For simple systems, there may be as few as one or two degrees of freedom. One degree of freedom occurs when one has an autonomous 詳細

    Phase plot
    A plot of position and momentum variables as a function of time is sometimes called a phase plot or a phase diagram. However the latter expression, " 詳細

    Chaos theory
    Classic examples of phase diagrams from chaos theory are:
    • the Lorenz attractor
    • population growth (i.e. 詳細

    • Nolte, D. D. (2015). Introduction to Modern Dynamics: Chaos, Networks, Space and Time. Oxford University Press. ISBN 978-0-19-965703-2.
    • Nolte, D. D. … 詳細

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