Using invariants to determine change detection in dynamical system with chaos

Using invariants to determine change detection in dynamical system with chaos

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Article ID: iaor20082728
Country: Germany
Volume: 15
Issue: 3
Start Page Number: 223
End Page Number: 233
Publication Date: Sep 2007
Journal: Central European Journal of Operations Research
Authors:
Abstract:

The problem of change detection in dynamical systems originated from ordinary differential equations and real world phenomena is covered. Until now suitable methods for detecting changes for linear systems and nonlinear systems have been elaborated but there are no such methods for chaotic systems. In this paper we propose the method of change detection based on the fractal dimension, which is the one of characteristics dynamical system invariants. The application of the method is illustrated with simulations.

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