𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Investment limit cycles in a socialist economy

✍ Scribed by A. Simonovits


Publisher
Springer US
Year
1991
Tongue
English
Weight
893 KB
Volume
24
Category
Article
ISSN
1573-9414

No coin nor oath required. For personal study only.

✦ Synopsis


The present paper generalizes a linear cycle model of the socialist economy studied in Simonovits (1990): the two equations describing the reproduction of the tensions are retained, while the two linear reaction equations are confined to the interval of lower and upper bounds; outside these intervals the decisions are given by the corresponding bounds (cf. Hicks, 1950).

The main result is the following: If a certain linear system of equations and inequalities has a solution, then there exists a limit cycle with period 4, the amplitude of which is independent of the initial states.


πŸ“œ SIMILAR VOLUMES


Multiple limit cycles in a CSTR
✍ Rein Luus; Leon Lapidus πŸ“‚ Article πŸ“… 1972 πŸ› American Institute of Chemical Engineers 🌐 English βš– 179 KB πŸ‘ 2 views
Limit cycles in a forced Lorenz system
✍ J.K. Bhattacharjee; K. Banerjee; D. Chowdhury; R. Saravanan; S. Manna πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 188 KB
Limit cycles in a general Kolmogorov mod
✍ Xun C. Huang; Lemin Zhu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 262 KB

The problem of limit cycles is interesting and significant both in theory and applications. In mathematical ecology, finding models that display a stable limit cycle-an attracting stable self-sustained oscillation, is a primary work. In this paper, a general Kolmogorov system, which includes the Ga