| Автор | Y Itoh |
| Автор | J E Cohen |
| Дата выпуска | 1994-10-07 |
| dc.description | For conservative linear systems (finite-state Markov processes in discrete or continuous time), the relative entropy of two distinct trajectories is a monotonically decreasing function of time. These results naturally raise the question whether distinct trajectories of nonlinear conservative systems also display monotonically decreasing relative entropy. For binary interacting Lotka-Volterra systems with anti-symmetry, the relative entropy oscillates under the motion. The main new result of this paper is that, for ternary interacting Lotka-Volterra systems with anti-symmetry, the relative entropy of two distinct trajectories is a monotonically decreasing function of time near equilibrium. Far from equilibrium, distinct trajectories of ternary Lotka-Volterra systems with anti-symmetry need not have monotonically decreasing relative entropy. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Competitive ternary interactions and relative entropy of solutions |
| Тип | paper |
| DOI | 10.1088/0305-4470/27/19/012 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 27 |
| Первая страница | 6383 |
| Последняя страница | 6393 |
| Аффилиация | Y Itoh; Inst. of Stat. Math., Graduate Univ. for Adv. Studies, Tokyo, Japan |
| Аффилиация | J E Cohen; Inst. of Stat. Math., Graduate Univ. for Adv. Studies, Tokyo, Japan |
| Выпуск | 19 |
