Phase Space Method

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High Quality Content by WIKIPEDIA articles! In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time-dependent differential equations. The method consists of first rewriting the equations as a system of differential equations that are first-order in time, by introducing additional variables. The original and the new variables form a vector in the phase space. The solution then becomes a curve in the phase space, parametrized by time. The curve is usually called a trajectory or an orbit. The differential equation is reformulated as a geometrical description of the curve, that is, as a differential equation in terms of the phase space variables only, without the original time parametrization. Finally, a solution in the phase space is transformed back into the original setting.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130515850
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786130515850
    • Format Kartonierter Einband
    • Titel Phase Space Method
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 108
    • Genre Mathematik

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