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Proceedings Paper

Global stability of nonlinear systems with temporal multidimensionality
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Paper Abstract

For integrated instability investigation, a sequence of functional matrixes multiplication is transformed by separation of elements describing linear and nonlinear transformations in delay difference map. A quantity of multiplications of diagonal matrixes is minimized by means of dividing initial functional matrix into diagonal, triangle and the matrix of unit cyclic shift. The analytical expressions for product matrix have been obtained and different approaches of reducing the product matrix to rarefied form have been investigated. The analytical scheme for calculating rarefied product matrix has been constructed, its operations are invariant to changing a common length of investigated time series and transformed segments. The developed model can be used for characteristic polynomial determination and for increasing efficiency of computational algorithm of Lyapunov exponents calculation.

Paper Details

Date Published: 21 March 2001
PDF: 12 pages
Proc. SPIE 4390, Applications and Science of Computational Intelligence IV, (21 March 2001); doi: 10.1117/12.421179
Show Author Affiliations
Victor F. Dailyudenko, Institute of Engineering Cybernetics (Belarus)

Published in SPIE Proceedings Vol. 4390:
Applications and Science of Computational Intelligence IV
Kevin L. Priddy; Paul E. Keller; Peter J. Angeline, Editor(s)

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