Geodesic
Numerical solution of nonlinear inverse coefficient problems for ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 858-871

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Parametric identification for a class of nonlinear objects with lumped parameters described by systems of ordinary differential equations is studied. The problem is to recover the coefficients of a dynamical system depending on the phase state. For that purpose, the phase space is subdivided into a finite set of subsets or zones in which the coefficients are assumed to be constant or linear functions of state. Once the coefficients in such a form are obtained, interpolation and approximation can be used to represent the coefficients as functions of the phase variables. 
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     author = {K. R. Aǐda-zade and S. Z. Kuliev},
     title = {Numerical solution of nonlinear inverse coefficient problems for ordinary differential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a8/}
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K. R. Aǐda-zade; S. Z. Kuliev. Numerical solution of nonlinear inverse coefficient problems for ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 858-871. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a8/