Assertion: equilibrium | /r/HasProperty | stable
Facets:
value: asymptotically
type: DEGREE
Source sentences:
text: An equilibrium is said to be stable if small, externally induced displacements from that state produce forces that tend to oppose the displacement and return the body or particle to the equilibrium state.
text: An equilibrium is unstable if the least departure produces forces that tend to increase the displacement.
text: If at least one has a positive real part, the equilibrium is an unstable node.
text: If all eigenvalues have negative real part, the equilibrium is a stable equation.
text: when it has one real eigenvalue and a pair of complex-conjugate eigenvalues, and all eigenvalues have real parts of the same sign; The equilibrium is stable (unstable) when the sign is negative (positive);
text: Not all equilibria are "stable" in the sense of equilibrium property P3.
text: Is the equilibrium stable as required by P3?
text: An equilibrium is asymptotically stable if all eigenvalues have negative real parts; it is unstable if at least one eigenvalue has positive real part.
text: An equilibrium is asymptotically stable when \(f'(x)<0\ ;\) that is, the slope of \(f\) is negative.
text: Basic questions in general equilibrium analysis are concerned with the conditions under which an equilibrium will be efficient, which efficient equilibria can be achieved, when an equilibrium is guaranteed to exist and when the equilibrium will be unique and stable.
text: The equilibrium is said to be stable.
text: For an equilibrium to be stable, a small deviation from equilibrium leads to economic forces that returns an economic sub-system toward the original equilibrium.
text: As anyone remembers from first-year differential equations class (or before), some equilibria are stable and some are unstable.
text: An equilibrium is stable if you can disturb the system and it is pushed back to its original state.
text: If df(x)/dt > 0, the equilibrium is unstable, and if df(x)/dt < 0 the equilibrium is stable.
text: However, if an equilibrium is unstable, it raises the question of reaching it.
text: Then, if an equilibrium is unstable and there is a shock, the economy will wind up at a different set of allocations and prices once the convergence process terminates.
text: If condition one does not hold then the equilibrium is unstable.
text: The (50%,50%) equilibrium is unstable.
text: An equilibrium is unstable if you disturb a system and the disturbance causes the system to go further from equilibrium.
text: If df(x)/dt > 0, the equilibrium is unstable, and if df(x)/dt < 0 the equilibrium is stable.
text: If at least one has a positive real part, the equilibrium is an unstable node.
text: If all eigenvalues have negative real part, the equilibrium is a stable equation.