Natural oscillations in approximately linear second order dynamic models
| dc.contributor.author | Thalagune, E. M. G. W. M. B. | |
| dc.date.accessioned | 2024-11-12T06:23:04Z | |
| dc.date.available | 2024-11-12T06:23:04Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | Oscillations of second order non-linear dynamic models governed by <Mathematical Formula> are considered, where |∈ |is a small parameter. The perturbation methods based on small damping are applied to obtain approximate solutions of certain non-linear systems characterized by particular forms of <Mathematical Formula> As an application in Industrial Mathematics a special study is done on price fluctuations of a dynamic market model where the excess supply Qs - Qd is a quadratic function of the price trend. It is proved that an isomorphism between the dynamic market model and a classical dynamical damper exists and the price function converges to its intertemporal equilibrium price. | |
| dc.identifier.uri | https://ir.lib.pdn.ac.lk/handle/20.500.14444/3365 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Peradeniya | |
| dc.subject | Mathematics | |
| dc.title | Natural oscillations in approximately linear second order dynamic models | |
| dc.type | Thesis |