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PTOLEMY II - CiteSeerX

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Using Vergil<br />

The Lorenz attractor model, shown in figure 2.6, is a block diagram representation of a set of nonlinear<br />

ordinary differential equations. The blocks with integration signs in their icons are integrators.<br />

At any given time t, their output is given by<br />

x() t xt ( 0)<br />

x , (1)<br />

· = + ( τ)<br />

dτ<br />

where xt ( 0)<br />

is the initial state of the integrator, t0 is the start time of the model, and x is the input signal.<br />

Note that since the output is the integral of the input, then at any given time, the input is the derivative<br />

of the output,<br />

·<br />

FIGURE 2.5. Look inside composite actors to reveal their implementation.<br />

Heterogeneous Concurrent Modeling and Design 49<br />

t<br />

∫<br />

t 0

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