A practical approach to computing Lyapunov exponents of renewal and delay equations
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929194813882368 |
|---|---|
| author | Breda, Dimitri Liessi, Davide |
| author_facet | Breda, Dimitri Liessi, Davide |
| contents | We propose a method for computing the Lyapunov exponents of renewal equations (delay equations of Volterra type) and of coupled systems of renewal and delay differential equations. The method consists in the reformulation of the delay equation as an abstract differential equation, the reduction of the latter to a system of ordinary differential equations via pseudospectral collocation, and the application of the standard discrete QR method. The effectiveness of the method is shown experimentally and a MATLAB implementation is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15400 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A practical approach to computing Lyapunov exponents of renewal and delay equations Breda, Dimitri Liessi, Davide Numerical Analysis Dynamical Systems We propose a method for computing the Lyapunov exponents of renewal equations (delay equations of Volterra type) and of coupled systems of renewal and delay differential equations. The method consists in the reformulation of the delay equation as an abstract differential equation, the reduction of the latter to a system of ordinary differential equations via pseudospectral collocation, and the application of the standard discrete QR method. The effectiveness of the method is shown experimentally and a MATLAB implementation is provided. |
| title | A practical approach to computing Lyapunov exponents of renewal and delay equations |
| topic | Numerical Analysis Dynamical Systems |
| url | https://arxiv.org/abs/2310.15400 |