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Using invariants to determine change detection in dynamical system with chaos

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  • Mateusz Tykierko

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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 method 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. Copyright Springer-Verlag 2007

Suggested Citation

  • Mateusz Tykierko, 2007. "Using invariants to determine change detection in dynamical system with chaos," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 15(3), pages 223-233, September.
  • Handle: RePEc:spr:cejnor:v:15:y:2007:i:3:p:223-233
    DOI: 10.1007/s10100-007-0032-0
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    Cited by:

    1. Balázs Lévai & Balázs Bánhelyi, 2013. "An optimization technique for verified location of trajectories with prescribed geometrical behaviour in the chaotic forced damped pendulum," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(4), pages 757-767, December.

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    Keywords

    Change detection; Dynamical systems;

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