EXTERIOR ALGEBRA-BASED ALGORITHMS TO ESTIMATE LIAPUNOV SPECTRA AND STRETCHING STATISTICS IN HIGH-DIMENSIONAL AND DISTRIBUTED SYSTEMS-Reference-Cited by-同舟云学术

EXTERIOR ALGEBRA-BASED ALGORITHMS TO ESTIMATE LIAPUNOV SPECTRA AND STRETCHING STATISTICS IN HIGH-DIMENSIONAL AND DISTRIBUTED SYSTEMS

Published:2002-02 Issue:02 Volume:12 Page:353-368
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ADROVER ALESSANDRA¹,CERBELLI STEFANO¹,GIONA MASSIMILIANO¹

Affiliation:

1. Dipartimento di Ingegneria Chimica, Universitá di Roma "La Sapienza", via Eudossiana 18, 00184 Roma, Italy

Abstract

This article introduces a direct method for the numerical estimation of the spectra of Liapunov exponents based on the exterior algebra of measure elements. This approach is computationally more robust than the classical approach based on the evolution of n vectors initially possessing linear independence. Several applications of the method proposed are discussed in connection with finite-dimensional systems exhibiting hyperchaos as well as distributed parameter systems associated with reaction/diffusion kinetics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812740200436X

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