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Mechanics Research Communications

Volumn 23, Issue 3, 1996, Pages 283-289

Dynamics of a nonlinear parametrically-excited PDE: 2-term truncation

(1) Rand, Richard H a

a Department of Obstetrics Gynecology (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DAMPING; EIGENVALUES AND EIGENFUNCTIONS; INTEGRATION; MATHEMATICAL MODELS; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; RESONANCE;

MATHIEU EQUATION; TWO TERM TRUNCATION EQUATION;

DYNAMICS;

EID: 0030146847 PISSN: 00936413 EISSN: None Source Type: Journal
DOI: 10.1016/0093-6413(96)00024-9 Document Type: Article

Times cited : (9)

References (8)

1
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- B. Denardo, B. Calvin, A. Greenfield, A. Larraza, S. Putterman, and W. Wright, "Observations of Localized Structures in Nonlinear Lattices: Domain Walls and Kinks," Phys. Rev. Let. 68 1730-1733 (1992) .
- (1992) Phys. Rev. Let. , vol.68 , pp. 1730-1733
- Denardo, B.¹ Calvin, B.² Greenfield, A.³ Larraza, A.⁴ Putterman, S.⁵ Wright, W.⁶

2
- 0029431448
- Dynamics of a Nonlinear Parametrically-excited Partial Differential Equation
- R.H. Rand, W.I. Newman, B.C. Denardo, A.L. Newman, "Dynamics of a Nonlinear Parametrically-Excited Partial Differential Equation," Proceedings of the 1995 Design Engineering Technical Conferences, Vol.3, Part A, Vibration of Nonlinear, Random and Time-Varying Systems, Boston, Mass, Sept.17-20, 1995 American Soc.Mech.Engineers vol.DE-Vol.84-1, pp.57-68.
- (1995) Proceedings of the 1995 Design Engineering Technical Conferences , vol.3 , Issue.PART A , pp. 57-68
- Rand, R.H.¹ Newman, W.I.² Denardo, B.C.³ Newman, A.L.⁴

3
- 0029431448
- Boston, Mass, Sept.17-20, 1995 American Soc.Mech.Engineers
- R.H. Rand, W.I. Newman, B.C. Denardo, A.L. Newman, "Dynamics of a Nonlinear Parametrically-Excited Partial Differential Equation," Proceedings of the 1995 Design Engineering Technical Conferences, Vol.3, Part A, Vibration of Nonlinear, Random and Time-Varying Systems, Boston, Mass, Sept.17-20, 1995 American Soc.Mech.Engineers vol.DE-Vol.84-1, pp.57-68.
- Vibration of Nonlinear, Random and Time-varying Systems , vol.84 DE , Issue.1 , pp. 57-68

4
- 0003405862
- Wiley, New York
- J.J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Wiley, New York, (1950).
- (1950) Nonlinear Vibrations in Mechanical and Electrical Systems
- Stoker, J.J.¹

5
- 0003696581
- Wiley, New York
- A.H. Nayfeh, and D.T. Mook, Nonlinear Oscillations, Wiley, New York, (1979).
- (1979) Nonlinear Oscillations
- Nayfeh, A.H.¹ Mook, D.T.²

6
- 0003451008
- Gordon and Breach, Langhorne, PA
- R.H. Rand, Topics in Nonlinear Dynamics with Computer Algebra, Gordon and Breach, Langhorne, PA (1994).
- (1994) Topics in Nonlinear Dynamics with Computer Algebra
- Rand, R.H.¹

7
- 0009322942
- Coupled Oscillators as a Model for Nonlinear Parametric Excitation
- C.A. Holmes, and R.H. Rand, "Coupled Oscillators as a Model for Nonlinear Parametric Excitation," Mechanics Res. Comm. 8, 263-268 (1981).
- (1981) Mechanics Res. Comm. , vol.8 , pp. 263-268
- Holmes, C.A.¹ Rand, R.H.²

8
- 0003957366
- Springer
- J.A. Sanders and F. Verhulst, Averaging Methods in Nonlinear Dynamical Systems, Springer (1985).
- (1985) Averaging Methods in Nonlinear Dynamical Systems
- Sanders, J.A.¹ Verhulst, F.²

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