Identification of chaotic systems using fractal dimension of the reconstructed attractor

Autor:	A. Goel, S.S. Rao, A. Passamante
Rok vydání:	2003
Předmět:	Nonlinear Sciences::Chaotic Dynamics Fractal Control theory Singular value decomposition Attractor MathematicsofComputing_NUMERICALANALYSIS Chaotic Fractal dimension Upper and lower bounds Thresholding Algorithm Curse of dimensionality Mathematics
Zdroj:	Proceedings of the 32nd Midwest Symposium on Circuits and Systems.
DOI:	10.1109/mwscas.1989.101871
Popis:	The problem of identifying chaotic systems is considered. Dimensions of chaotic attractors are briefly discussed. An algorithm based on the attractor's local intrinsic dimensionality (LID) is discussed and implemented using singular value decomposition and some thresholding techniques. The LID will produce an upper bound on the fractal dimension. The problem of data corrupted by noise is considered. Simulations are performed using standard chaotic signals, and a comparison is made between the LID approach and the Grassberger-Procaccia algorithm. >
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b27d4eb71927b2ce25957519330d64a1 https://doi.org/10.1109/mwscas.1989.101871 Zobrazit plný text záznamu