Least squares parameter estimation in chaotic differential equations. (English) Zbl 0785.34034
A boundary value problem approach is shown to recover the Henon-Heiles equation via least squares parameter estimation from corresponding chaotic time series.
Reviewer: T.C.Gard (Athens / Georgia)
MSC:
| 34D08 | Characteristic and Lyapunov exponents of ordinary differential equations |
| 34F05 | Ordinary differential equations and systems with randomness |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
Keywords:
boundary value problem approach; Henon-Heiles equation; least squares parameter estimation; chaotic time seriesReferences:
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