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Parallel Computation and Measurement Uncertainty in Nonlinear Dynamical Systems

机译:非线性动力系统中的并行计算和测量不确定度

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摘要

In certain physical systems measuring one variable of the system modifies the values of any number of other variables unpredictably. We show in this paper that under these conditions a parallel approach succeeds in carrying out the required measurement while a sequential approach fails. Specifically, we show that for a nonlinear dynamical system, namely, the Belousov–Zhabotinskii chemical reaction, measurement disturbs the equilibrium of the system and causes it to enter into an undesired state. If, however, several measurements are performed in parallel, the effect of perturbations seems to cancel out and the system remains in a stable state.
机译:在某些物理系统中,测量系统的一个变量会意外地更改任何数量的其他变量的值。我们在本文中表明,在这些条件下,并行方法成功执行了所需的测量,而顺序方法失败了。具体来说,我们表明对于非线性动力学系统,即Belousov-Zhabotinskii化学反应,测量会扰乱系统的平衡,并使系统进入不希望的状态。但是,如果并行执行多个测量,则扰动的影响似乎会抵消,并且系统将保持稳定状态。

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