Evaluating basins of attraction in non-linear dynamical systems using an improved recursive boundary enhancement (RBE)

Journal of Sound and Vibration

Volumn 209, Issue 3, 1998, Pages 443-472

  Alexander, N A ^a  

^a UNIVERSITY OF EAST LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DYNAMIC RESPONSE; STRUCTURAL ANALYSIS;

GRID OF START (GOS) METHOD; RECURSIVE BOUNDARY ENHANCEMENT (RBE);

VIBRATIONS (MECHANICAL);

EID: 0031673792     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1234     Document Type: Article

References (10)

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2. S. W. MCDONALD, C. GREBOGI, E. OTT and J. A. YORKE 1985 Physica 17D, 125-153. Fractal basin boundaries.
3. Y. UEDA 1980 in: New Approaches to Nonlinear Problems in Dynamics (P. J. Holmes, editor). Philadelphia, SIAM 311.
4. N. A. ALEXANDER 1989 Journal of Sound and Vibration 135, 63-77. Production of computational portraits of bounded invariant manifolds.
5. M. S. SOLIMAN and J. M. T. THOMPSON 1991 Applied Ocean Research 13, 82-92. Transient and steady state analysis of capsize phenomena.
6. N. A. ALEXANDER 1995 Proceedings of the 6th International Conference on Civil and Structural Engineering Computing, 29-35. Volume Developments in Computational Techniques for Structural Engineering. Edinburgh, UK: Civil-Comp Press, Recursive boundary enhancement (RBE) an algorithm for computational portraits of basin of attraction in non-linear dynamic systems.
7. T. S. PARKER and L. O. CHUA 1989 Practical Numerical Algorithms for Chaotic Systems. New York: Springer-Verlag.
8. N. A. ALEXANDER 1989 PhD Thesis, University College, London. Computational algorithms for the global stability analysis of driven oscillators.
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10. B. H. TONGUE 1987 Physica 28D, 401-408. On obtaining global nonlinear system characteristic through ICM.