Large-amplitude oscillations of a nonlinear asymmetric oscillator with damping

Nonlinear Analysis, Theory, Methods and Applications

Volumn 44, Issue 5, 2001, Pages 613-626

  Fabry, C ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; NONLINEAR EQUATIONS; OSCILLATIONS; OSCILLATORS (ELECTRONIC); THEOREM PROVING;

NONLINEAR ASYMMETRIC OSCILLATORS;

EQUATIONS OF MOTION;

EID: 0035342038     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00295-3     Document Type: Article

References (8)

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2. E.N. Dancer, Proofs of the results in "Boundary-value problems for weakly nonlinear ordinary differential equations", unpublished.
3. Fabry C., Fonda A. Nonlinear resonance in asymmetric oscillators. J. Differential Equations. 147:1998;58-78.
4. C. Fabry, A. Fonda, Bifurcations from infinity in asymmetric nonlinear oscillators, to appear.
5. Glover J., Lazer A.C., McKenna P.J. Existence and stability of large scale nonlinear oscillations in suspension bridges. J. Appl. Math. Phys. (ZAMP). 40:1989;172-200.
6. Lazer A.C., McKenna P.J. Large scale oscillatory behavior in loaded asymmetric systems. Ann. Inst. Henri Poincaré 4:1987;243-274.
7. Lazer A.C., McKenna P.J. Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities. Trans. Amer. Math. Soc. 315:1989;721-739.
8. Lazer A.C., McKenna P.J. Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis. SIAM Rev. 32:1990;537-578.