The fractal structure of limit set of solution space of a doubly periodic Ricatti equation
The limit set of the Kleinian group of a given doubly periodic Riccati equation is proved to have a fractal structure if the parameter δ(λ) of the equation is greater than 3+22, and a possible Hausdorff dimension is suggested to the limit set.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000963 |
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| _version_ | 1832564314232324096 |
|---|---|
| author | Ke-Ying Guan |
| author_facet | Ke-Ying Guan |
| author_sort | Ke-Ying Guan |
| collection | DOAJ |
| description | The limit set of the Kleinian group of a given doubly periodic Riccati equation is proved
to have a fractal structure if the parameter δ(λ) of the equation is greater than 3+22, and a possible
Hausdorff dimension is suggested to the limit set. |
| format | Article |
| id | doaj-art-1e10fb402e144d8bb30e3621e69fb487 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1e10fb402e144d8bb30e3621e69fb4872025-02-03T01:11:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120470771210.1155/S0161171297000963The fractal structure of limit set of solution space of a doubly periodic Ricatti equationKe-Ying Guan0Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, ChinaThe limit set of the Kleinian group of a given doubly periodic Riccati equation is proved to have a fractal structure if the parameter δ(λ) of the equation is greater than 3+22, and a possible Hausdorff dimension is suggested to the limit set.http://dx.doi.org/10.1155/S0161171297000963Kleinian group of a Riccati equationlimit setfractal. |
| spellingShingle | Ke-Ying Guan The fractal structure of limit set of solution space of a doubly periodic Ricatti equation International Journal of Mathematics and Mathematical Sciences Kleinian group of a Riccati equation limit set fractal. |
| title | The fractal structure of limit set of solution space of a doubly periodic Ricatti equation |
| title_full | The fractal structure of limit set of solution space of a doubly periodic Ricatti equation |
| title_fullStr | The fractal structure of limit set of solution space of a doubly periodic Ricatti equation |
| title_full_unstemmed | The fractal structure of limit set of solution space of a doubly periodic Ricatti equation |
| title_short | The fractal structure of limit set of solution space of a doubly periodic Ricatti equation |
| title_sort | fractal structure of limit set of solution space of a doubly periodic ricatti equation |
| topic | Kleinian group of a Riccati equation limit set fractal. |
| url | http://dx.doi.org/10.1155/S0161171297000963 |
| work_keys_str_mv | AT keyingguan thefractalstructureoflimitsetofsolutionspaceofadoublyperiodicricattiequation AT keyingguan fractalstructureoflimitsetofsolutionspaceofadoublyperiodicricattiequation |