A stable system is one that holds stability and is dependable. An unstable system is just the opposite. You do not know what to expect from an unstable system; it is not close to being dependable.
In order to determine if equilibrium is stable or unstable, you can analyze the system's response to small disturbances. If the system returns to its original state after a disturbance, it is stable. If the system moves further away from equilibrium after a disturbance, it is unstable.
in automatic control the nyquist theorem is used to determine if a system is stable or not. there is also something called the simplified nyguist theorem that says if the curve cuts the "x-axies" to the right of point (-1,0) then the system is stable, otherwise its not.
The conditions that determine whether a system is in stable, unstable, or neutral equilibrium depend on how the system responds to disturbances. In stable equilibrium, the system returns to its original state after a disturbance. In unstable equilibrium, the system moves further away from its original state after a disturbance. In neutral equilibrium, the system remains in its new state after a disturbance.
The factors that determine whether a system will be in stable or unstable equilibrium include the system's internal forces, external influences, and the system's ability to return to its original state after a disturbance.
No, not all objects at equilibrium are stable. There are two types of equilibrium: stable equilibrium, where a system returns to its original state when disturbed, and unstable equilibrium, where a system moves away from its original state when disturbed. Objects at unstable equilibrium are not stable.
unstable
In a system, stable equilibrium occurs when a small disturbance causes the system to return to its original state, while unstable equilibrium occurs when a small disturbance causes the system to move away from its original state.
In a system, stable equilibrium occurs when a small disturbance causes the system to return to its original state. Unstable equilibrium, on the other hand, occurs when a small disturbance causes the system to move away from its original state.
In a system, unstable equilibrium occurs when a small disturbance causes the system to move further away from its original position, while stable equilibrium occurs when a small disturbance causes the system to return to its original position. The key difference lies in how the system responds to disturbances, with unstable equilibrium leading to further movement away from equilibrium and stable equilibrium leading to a return to equilibrium.
Marginally stable system is when the system control components are JUST right. So if they change slightly the system becomes unstable. I wouldn't fly on that airplain.
The Hamiltonian is conserved in a dynamical system when the system is time-invariant, meaning the Hamiltonian function remains constant over time.