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On the trajectory method for the reconstruction of differential equations from time series. (English) Zbl 0966.34009

The trajectory method is used for recovering the system of differential equations of the form \[ \dot x=f(x,t) \] from the time behavior of the system variables. Results of numerical experiments are also presented to illustrate the method.

MSC:

34A55 Inverse problems involving ordinary differential equations
93B30 System identification
70K99 Nonlinear dynamics in mechanics
34A34 Nonlinear ordinary differential equations and systems
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