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单词 phase plane
释义
phase plane

Mathematics
  • Given a dynamical system describing the evolution of a vector x(t), the possible states of the system make up the phase space (or phase plane if it is two-dimensional). For example, with the system

    dxdt=x+y,dydt=4x+y,

    the phase plane is the xy-plane and the possible evolutions or trajectories of the system can be sketched as in the figure. This system has an unstable equilibrium at the origin.

    phase plane

    Trajectories in a phase plane


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