TopEvolutionary Branches, Long-Term Equilibrium And Temporal Equilibrium States Of Ecas
MSP-modeling opens new possibilities for deeper understanding of the Economic System. MSP-model of ECAS reveals existing implicitly nontrivial economic interrelations between economic indicators. We consider below two cases: 1) MSP-model with constant parameters (Chapter 2 and 3) MSP-model with changing parameters (Chapter 4). Surely MSP-model with constant parameters simplifies of course the economic reality but this model gives important qualitative description of the economy as the complex system which evolves cyclically through a sequence of discontinuous cycles with different durations.
MSP-model with constant parameters introduces into economics new fundamental notion – “evolutionary branch” - locus of temporal equilibrium states of the Economic System in the plane 
. The fact of existence of such special curves is surprising. We can rewrite equations (19)-(20) from the Introduction for “evolutionary branches” via “productivity of capital” 
and “capacity utilization rate” 
.
“Upper Evolutionary Branch” for economic system:
;
(1)“Lower Evolutionary Branch” for economic system:
;
(2)Symbol 
designates productivity of capital in the point of long-term equilibrium (Point 1 in Figure 2). The following interrelations are fulfilled:
or
(3)Efficiency of economic system depends on productivity of capital (equations (1)-(2)):
“Upper Evolutionary Branch” of economic system:
;
(4)“Lower Evolutionary Branch” of economic system:
;
(5)Productivity of capital equals tangent of angle of inclination 
of radius-vector in the plane 
:
(6)Parameter 
influences onto the geometric shape of “evolutionary branches”. According to formula (30) from the Introduction this parameter equals to ratio of length of two line segments along Z-axis.
(7)There are two types of the economic systems: