A clustering method has been developed to group signals that display similar dynamic behavior. The procedure involves using the method of time delay embedding to construct a trajectory in state space from a time series. Certain features that characterize the geometry of the trajectory have been defined. These features were subjected to a series of statistical tests to determine their usefulness in a hierarchical clustering analysis. The latter is aimed at finding groups of similar trajectories. The trajectory‐based clustering algorithm has been applied to simulated data, which included both stochastic data generated by a linear AR model, and nonlinear data generated by a Duffing oscillator. The results show that the algorithm works reliably in both cases.
Skip Nav Destination
Article navigation
April 1993
Research Article|
April 01 1993
Measuring the similarity between trajectories using clustering techniques
Ben H. Jansen;
Ben H. Jansen
Department of Electrical Engineering and Bioengineering Research Center, University of Houston, Houston, Texas 77204‐4793
Search for other works by this author on:
Henrik N. Nyberg
Henrik N. Nyberg
Department of Electrical Engineering and Bioengineering Research Center, University of Houston, Houston, Texas 77204‐4793
Search for other works by this author on:
Chaos 3, 143–151 (1993)
Article history
Received:
August 27 1992
Accepted:
January 26 1993
Citation
Ben H. Jansen, Henrik N. Nyberg; Measuring the similarity between trajectories using clustering techniques. Chaos 1 April 1993; 3 (2): 143–151. https://doi.org/10.1063/1.165980
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Ordinal Poincaré sections: Reconstructing the first return map from an ordinal segmentation of time series
Zahra Shahriari, Shannon D. Algar, et al.
Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks
José M. Amigó, Roberto Dale, et al.
Regime switching in coupled nonlinear systems: Sources, prediction, and control—Minireview and perspective on the Focus Issue
Igor Franović, Sebastian Eydam, et al.
Related Content
SCF Theory of Localized Electron Sets
J. Chem. Phys. (February 1964)
Substitutional symmetries and extra degeneracies of real symmetric matrices
J. Math. Phys. (May 1988)
Theoretical and experimental studies of the dissociation dynamics of methaniminium cation, CH 2 NH 2 + →CHNH + +H 2 : Reaction path bifurcation
J. Chem. Phys. (April 2001)
The treatment of triple excitations within the coupled cluster description of molecular electronic structure
J. Chem. Phys. (July 1985)
Melting temperature and periodicity
J. Appl. Phys. (June 1981)