Chaos and three-dimensional horseshoes in slowly varying oscillators

Journal of Applied Mechanics, Transactions ASME

Volumn 55, Issue 4, 1988, Pages 959-968

  Wiggins, Stephen ^a   Shaw, Steven W ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION;

CHAOTIC MOTIONS; MELNIKOV METHOD; SLOWLY VARYING OSCILLATORS; THREE-DIMENSIONAL HORSESHOES;

DYNAMICS;

EID: 0024128896     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3173748     Document Type: Article

References (10)

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4. Guckenheimer, J., and Holmes, P. J., 1983, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York.
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8. Moser, J., 1973, Stable and Random Motions in Dynamical Systems, Princeton University Press, Princeton.
9. Shaw, S. W., and Wiggins, S., 1988, “Chaotic Motions of a Torsional Vibration Absorber,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 55, pp. 952-958.
10. Wiggins, S., and Holmes, P. J., 1987, “Homoclinic Orbits in Slowly Varying Oscillators,” SI AM J. Math. Anal., Vol. 18, pp. 612-629.