On resonant rotation of a weakly damped pendulum

Journal of Sound and Vibration

Volumn 280, Issue 1-2, 2005, Pages 401-406

  Miles, John ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DAMPING; OSCILLATIONS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; RESONANCE;

ANALOG SIMULATION; HARMONIC BALANCES; JACOBI ELLIPTIC FUNCTIONS; PERIODIC ROTATION;

PENDULUMS;

EID: 9644295630     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.01.041     Document Type: Article

References (4)

1. D. D'Humieres, M.R. Beasley, B.A. Huberman, A. Libchabcr, Chaotic states and routes to chaos in the forced pendulum, Physics Review A 26 (1982) 3483-3496.
2. J.W. Miles, The pendulum from Huygens' Horologium to symmetry breaking and chaos, in: Proceedings of the XVIIth International Congress of Theoretical and Applied Mechanics, Grenoble, France, North-Holland, Amsterdam, 1989.
3. P.F. Byrd, M.D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists, Springer, New York, 1954.
4. E.L. Ince, The periodic Lamé functions, Proceedings of the Royal Society of Edinburgh 60 (1940) 47-63 83-99.