Parametric analysis and fractal-like basins of attraction by modified interpolated cell mapping

Journal of Sound and Vibration

Volumn 253, Issue 3, 2002, Pages 711-723

  Ge, Z M ^a   Tsen, P C ^a   Lee, S C ^b  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b CHUNG SHAN INSTITUTE OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRATION; ITERATIVE METHODS; OSCILLATORS (MECHANICAL); SYSTEMS ANALYSIS;

DUFFINGS OSCILLATOR; MODIFIED INTERPOLATED CELL MAPPING METHOD; PARAMETRIC ANALYSIS;

VIBRATIONS (MECHANICAL);

EID: 0037030828     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3663     Document Type: Editorial

References (10)

1. J. M. T. Thompson and H. B. Stewart 1986 Nonlinear Dynamics and Chaos: Geometric Method for Engineers and Scientists. Chichester: John Wiley and Sons.
2. Z.-M. Ge and S.-C. Lee 1997 Journal of Sound and Vibration 199, 189-206. A modified interpolated cell mapping method.
3. C. S. Hsu 1987 Cell-to-Cell Mapping: A Method of Global Analysis for Nonlinear Systems. New York: Springer-Verlag.
4. B. H. Tongue and K. Gu 1988 American Society of Mechanical Engineers Journal of Applied Mechanics 55, 461-466. Interpolated cell mapping of dynamical systems.
5. C. A. Hsu and H. M. Chiu 1987 Journal of Sound and Vibration 114, 203-218. Global analysis of a system with multiple responses including a strange attractor.
6. L. G. Ixaru 1992 Numerical Methods for Differential Equations and Applications. Dordrecht: D. Reidel Publishing Company.
7. G. E. Forsythe, M. A. Malcolm and C. B. Moler 1977 Computer Methods for Mathematical Computations. Englewood Clifs, NJ: Prentice-Hall.
8. B. H. Tongue 1987 Physica D 28, 401-408. On obtaining global nonlinear system characteristics through interpolated cell mapping.
9. B. H. Tongue and K. Gu 1988 SIAA Journal of Applied Mathematics 48, 1206-1214. A theoretical basis for interpolated cell mapping.
10. C. Pezeshki and E. H. Dowell 1987 Journal of Sound and Vibration 117, 219-232. An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation.