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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 33
DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper II.3

Recursive Boundary Enhancement (RBE), an Algorithm for Computational Portraits of Basins of Attraction in Non-Linear Dynamical Systems

N.A. Alexander

Civil Engineering Department, University of East London, Dagenham, UK

Full Bibliographic Reference for this paper
N.A. Alexander, "Recursive Boundary Enhancement (RBE), an Algorithm for Computational Portraits of Basins of Attraction in Non-Linear Dynamical Systems", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 29-35, 1995. doi:10.4203/ccp.33.2.3
Abstract
This paper uses a process of boundary grid refinement to produce a greatly enhanced procedure which is accurate and more computationally inexpensive than the standard constant size grid of starts (GOS) method. The algorithm focuses on the boundaries of the catchment basins which need the most attention. Concepts of parent cells, child cells and cell division are used. The necessity for recursion in the algorithm is discussed. The procedure is valid for both non-fractal and fractal boundaries. A comparison with other methods such as SCM and ICM mapping methods are made to evaluate computational efficiency and accuracy.

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