More precisely, we study equilibrium points of Kukles systems from the global asymptotic stability point of view. First of all, we classify the Kukles systems satisfying the assumptions: the origin is the unique equilibrium point which is locally asymptotically stable, and the divergence is ...
Equivalently, the equilib- rium point is stable if the largest real part of all eigenvalues, which we shall refer to as the maximum real eigen- value, is negative and unstable otherwise. Eigenvalues are the exponential decay rates of small perturbations from the equilibrium point. Thus, ...
1.4.1 Unstable nuclei Figure 1.2 gives the combinations of protons and neutrons that are found to be stable nuclei. This information may also be presented as an area of stability, Fig 1.4. Nuclei lying outside this area may be regarded as having the wrong combination of protons and neutrons...
), then the nullclines do cross, but the resulting fixed point is unstable Full size imageThe fixed points of this ODE can be studied using basic dynamical systems methods. Setting \(\dot{{{x}}} = \dot{g} = 0\), we find that this equation has fixed points at ...
aThe stability boundary of stable equilibrium point is given by the union of unstable manifold of the controlling equilibrium points on its stability boundary. 稳定的平衡点稳定界限由控制平衡点的不稳定的多头管联合在它的稳定界限给。 [translate] ...
All structural subunits of the pilus on their own are unstable and prone to aggregation because they consist of an incomplete immunoglobulin-like fold. They lack the final, seventh β-strand, exposing a deep hydrophobic groove on their surface14,15,16,17. The groove has five binding pockets, ...
In contrast, the bulk center of the material contains nickel ions that are closer to the chemically unstable Ni3+ state (Fig. 14d-f). The formation of nanopores is primarily observed in the bulk center of the material rather than on its surfaces and near-surface region, indicating the ...
As the displacement D increases, the two trusses become parallel in an unstable equilibrium position as the linear springs are compressed. Further increase in D causes the two inclined trusses to arrive at a configuration that mirrors their initial configuration, this is the second stable equilibrium...
Unstable behavior of anodic arc discharge for synthesis of nanomaterials. J. Phys. D. Appl. Phys. 49, 345201 (2016). Article Google Scholar Yang, G. & Heberlein, J. Instabilities in the anode region of atmospheric pressure arc plasmas. Plasma Sources Sci. Technol. 16, 765–773 (2007)....
An equilibrium position may be a stable or unstable configuration. Near a stable equilibrium position, a small change in the control voltage will not produce a large displacement of the mobile capacitor plate 22. Near an unstable equilibrium position, a small change in the control voltage can cau...