On the elliptic harmonic balance method for mixed parity non-linear oscillators

Journal of Sound and Vibration

Volumn 233, Issue 5, 2000, Pages 935-937

  Belhaq, M ^a   Lakrad, F ^a  

^a Ecole Nationale Supérieure D'Electricité et de Mécanique   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); FUNCTIONS; MECHANICS; OSCILLATIONS; VIBRATIONS (MECHANICAL);

ELLIPTIC HARMONIC BALANCE; HARMONIC BALANCE METHOD; JACOBIAN ELLIPTIC FUNCTION; MIXED PARITY NONLINEAR OSCILLATORS;

OSCILLATORS (ELECTRONIC);

EID: 0034206434     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2708     Document Type: Editorial

References (6)

1. A.H. NAYFEH B. BALACHANDRAN Modal interactions in dynamical and structural systems Applied Mechanics Reviews 42 1989 175 201
2. H.P.W. GOTTLIEB On the harmonic balance method for mixed-parity nonlinear oscillators Journal of Sound and Vibration 152 1992 189 191
3. A.H. NAYFEH D.T. MOOK Nonlinear Oscillations 1979 John Wiley & Sons New York
4. J.G. MARGALO J.D. BEJARANO Generalized Fourier series and limit cycles of generalized Van der Pol oscillators Journal of Sound and Vibration 136 1990 453 466
5. M. BELHAQ, B. FIEDLER, F. LAKRAD, Nonlinear Dynamics, Homoclinic connections in strongly self-excited nonlinear oscillators: the Melnikov function and the elliptic Lindstedt–Poincaré method
6. M. BELHAQ, F, LAKRAD, Chaos Solitons and Fractals, Prediction of homoclinic bifurcation: the elliptic averaging method