DYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM
We consider a Duffing system with double-well potential beam system by F. C. Moon and P. J. Holmes (1979). When there is no forcing, we study the stability of the equilibrium solution with and without small damping. Furthermore, the solution of the unforced system will always bounded. When the sy...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/83694 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | We consider a Duffing system with double-well potential beam system by F. C. Moon
and P. J. Holmes (1979). When there is no forcing, we study the stability of the
equilibrium solution with and without small damping. Furthermore, the solution of
the unforced system will always bounded. When the system is perturbed with a small
periodic forcing, superharmonic and subharmonic cases will appear. We obtain approximations
for the solution in the nonharmonic, superharmonic, and subharmonic cases
which can provide the dynamics of the solution. |
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