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Paper II.3

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

doi:10.4203/ccp.33.2.3

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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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.33.2.3 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £78 +P&P)
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