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- Publisher
- Springer Journals
- Copyright
- Copyright © 1999 by Science Press
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/BF02684038
- Publisher site
- See Article on Publisher Site
Abstract
The quasi-periodic perturbation for the Duffing’s equation with two external forcing terms has been discussed. The second order averaging method and sub-harmonic Melnikov’s method through the medium of the averaging mrthod have been applied to detect the existence of quasiperiodic solutions and sub-harmonic bifurcation for the system. Sub-harmonic bifurcation curves are given by using numerical computation for sub-harmonic Melnikov’s function.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 4, 2007