2009 Fiscal Year Final Research Report
Hamiltonian structure in the pattern selection problems of dissipative systems
| Project/Area Number |
18540120
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Kobe University |
|---|
Principal Investigator |
KUWAMURA Masataka Kobe University, 人間発達環境学研究科, 准教授 (30270333)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
EI Shin-ichiro 九州大学, 数理学研究院, 教授 (30201362)
OGAWA Toshiyuki 大阪大学, 基礎工学研究科, 准教授 (80211811)
|
|---|
| Project Period (FY) |
2006 – 2009
|
| Keywords | 散逸系 / ハミルトン系 |
|---|
| Research Abstract |
We studied the gradient/skew-gradient structure that enables us to apply the Hamiltonian formalism for studying the stability of stationary solutions in reaction-diffusion systems in various pattern formation problems. Moreover, we studied the stabilizing effect of dormancy of predators on the population dynamics of prey-predator systems.
|
Research Products
(11 results)
