TY - JOUR AB - We address the problem of estimating parameters in systems of ordinary differential equations which give rise to chaotic time series. We claim that the problem is naturally tackled by boundary value problem methods. The power of this approach is demonstrated by various examples with ideal as well as noisy data. In particular, Lyapunov exponents can be computed accurately from time series much shorter than those required by previous methods. DA - 1992 DO - 10.1103/PhysRevA.45.5524 LA - eng IS - 8 M2 - 5524 PY - 1992 SN - 1050-2947 SP - 5524-5529 T2 - Physical Review A TI - Fitting ordinary differential equations to chaotic data UR - https://nbn-resolving.org/urn:nbn:de:0070-pub-17755994 Y2 - 2024-11-22T02:34:49 ER -