Topological methods employment to nonlinear-system diagnostics and control

Victor F. Dailyudenko

doi:10.1117/12.280910

22 July 1997 Topological methods employment to nonlinear-system diagnostics and control

Victor F. Dailyudenko

Proceedings Volume 3079, Detection and Remediation Technologies for Mines and Minelike Targets II; (1997) https://doi.org/10.1117/12.280910
Event: AeroSense '97, 1997, Orlando, FL, United States

Abstract

The method of minimal embedding dimension definition of the chaotic attractor on the basis of topological structure dynamics analysis of phase trajectories is proposed. It is shown that the suggested method yields reduction of experimental data quantity and computer resources about an order in comparison with traditional methods. This reduction is achieved due to localizing topological analysis of the phase trajectories. The proposed method can be used of investigation of nonlinear dynamical systems with chaotic behavior in technique, biology, medicine.

Citation Download Citation

Victor F. Dailyudenko "Topological methods employment to nonlinear-system diagnostics and control", Proc. SPIE 3079, Detection and Remediation Technologies for Mines and Minelike Targets II, (22 July 1997); https://doi.org/10.1117/12.280910

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