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.


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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