Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-06-15
Nonlinear Sciences
Chaotic Dynamics
12 pages, 4 figures
Scientific paper
10.1016/j.physleta.2005.02.053
We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given (original) system. Then the system parameters and the controlling constants are determined by solving a set of nonlinear simultaneous algebraic equations obtained from the relation connecting original and modified systems. Finally, the method is extended to find the form of the evolution equation of the system itself. The major advantage of the method is that it needs only a minimal number of time series data and is applicable to dynamical systems of any dimension. The method also works extremely well even in the presence of noise in the time series. This method is illustrated for the case of Lorenz system.
Lakshmanan Meenakshi
Palaniyandi P.
No associations
LandOfFree
Estimation of System Parameters and Predicting the Flow Function from Time Series of Continuous Dynamical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Estimation of System Parameters and Predicting the Flow Function from Time Series of Continuous Dynamical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Estimation of System Parameters and Predicting the Flow Function from Time Series of Continuous Dynamical Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-347342