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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id-itb.:836942024-08-12T14:41:20ZDYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM Gregory, Wilson Indonesia Final Project Duffing system, double-well potential, stability analysis, superharmonic and subharmonic responses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/83694 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. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
| description |
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. |
| format |
Final Project |
| author |
Gregory, Wilson |
| spellingShingle |
Gregory, Wilson DYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM |
| author_facet |
Gregory, Wilson |
| author_sort |
Gregory, Wilson |
| title |
DYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM |
| title_short |
DYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM |
| title_full |
DYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM |
| title_fullStr |
DYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM |
| title_full_unstemmed |
DYNAMICS OF THE DOUBLE-WELL DUFFING SYSTEM |
| title_sort |
dynamics of the double-well duffing system |
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https://digilib.itb.ac.id/gdl/view/83694 |
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1822282602042621952 |