Method of complex amplitudes: Harmonically excited oscillator with strong cubic nonlinearity

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5 C, Issue , 2003, Pages 2355-2359

  Gendelman, O V ^a   Manevitch, L I ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DAMPING; EQUATIONS OF MOTION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; PHASE SHIFT; POLYNOMIALS; RESONANCE;

DUFFING OSCILLATORS; NONLINEAR OSCILLATORS;

OSCILLATORS (ELECTRONIC);

EID: 1842784472     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48586     Document Type: Conference Paper

References (11)

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3. L.I.Manevitch Complex Representation in Dynamics of Coupled Nonlinear Oscillators. In: Mathematical Models of Nonlinear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, Kluwer Academic / Plenum Publishers, New York, p. 269-300, 1999; L.I.Manevitch, Nonlinear Dynamics, v. 25, n. 1-3, pp. 95-109 (2001)
4. L.I.Manevitch Complex Representation in Dynamics of Coupled Nonlinear Oscillators. In: Mathematical Models of Nonlinear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, Kluwer Academic / Plenum Publishers, New York, p. 269-300, 1999; L.I.Manevitch, Nonlinear Dynamics, v. 25, n. 1-3, pp. 95-109 (2001)
5. L. I. Manevitch Nonlinear Dynamics of Coupled Nonlinear Oscillators Using Complex Variables. In: Proceedings od the ASME Design Engineering Technical Conference, 1999, Las Vegas, DETC 99VIB -8004
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8. S.S.Tsyayn in Advances in Applied Mechanics, ed. H.L.Dryden, Th. Von Karmen, 4. NY, Academic Press Inc. (1956)
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11. Peter B. Kahn, Yair Zarmi, Nonlinear Dynamics: Exploration through Normal Forms, Wiley, 1997