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However, in many real physical systems, especially in nonlinear and non-autonomous dynamical systems, the equilibrium point sometimes does not exist.
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In the actual RC photosynthetic system the equilibrium conformations of molecules in the presence and absence of an electron can vary greatly due to these electron-conformational interactions.
From the equations of motion for the autonomous system, the equilibrium positions and the linear variational equations are obtained by the perturbation method.
In Fe4 + SWNT system, the equilibrium structure of adsorbed Fe4 cluster is affected by two competitive effects: Fe C and Fe Fe interactions.
For this coupled system, the equilibrium potential is defined as the voltage at which there is no net substrate flux.
It can be shown that at the point, with ϵ being sufficiently small, the linearized system about the equilibrium is stable and the system ceases to oscillate.
It can be shown that at, with ϵ being sufficiently small, the linearized system around the equilibrium is stable and the system ceases to oscillate.
Generalized exergies obtained for engine modes in which the system approaches the equilibrium differ from the generalized exergies obtained for heat-pump modes in which the system departs from the equilibrium.
Furthermore, a distributed asymptotic regulator is proposed to regulate the overall system to the equilibrium.
The adsorption kinetics conducted under optimized conditions showed that the system reached the equilibrium in approximately 30 min.
The Jacobian of this system at the equilibrium Q: (x 1*,x 2*,x 3*) is: (19).
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