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Initial conditions for models of dynamical systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cox, S. M. Roberts, Anthony J. |
| Copyright Year | 1994 |
| Abstract | The long-time behaviour of many dynamical systems may be effectively predicted by a low-dimensional model that describes the evolution of a reduced set of variables. We consider the question of how to equip such a low-dimensional model with appropriate initial conditions, so that it faithfully reproduces the long-term behaviour of the original high-dimensional dynamical system. Our method involves putting the dynamical system into normal form, which not only generates the low-dimensional model, but also provides the correct initial conditions for the model. We illustrate the method with several examples. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/chao-dyn/9411021v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Beta normal form Dynamical system Initial condition |
| Content Type | Text |
| Resource Type | Article |
