Using the method of characteristic exponents we study here for first time the stability of planar and three dimensional equilibrium points of charged particles moving under the electromagnetic force of the system. Applying this theoretical procedure we give an extensive numerical investigation for the ...
equilibrium pointsWe have extended Strormerâs problem considering four magnetic dipoles in motion. The three of them (D1, D2, D3) move in circles according to the equilateral solution of Lagrange and the fourth dipole (D4) has symmetrical location to the third dipole (D3) with ...
Both regulating characteristics of on-load tap changer(OLTC)and load characteristics greatly impact power system voltage stability. The reverse action of OLTC may emerge before or after the instability of load. By means of analyzing equilibrium points, the influence of OTLC and load on power syst...
Leonid Shaikhet Pages 257-282 Stability of SIR Epidemic Model Equilibrium Points Leonid Shaikhet Pages 283-296 Stability of Some Social Mathematical Models with Delay Under Stochastic Perturbations Leonid Shaikhet Pages 297-323 Back Matter Pages 325-342 Download chapter PDF Back...
A set M is said to be a positively invariant set of if this is true for all future time only . For example, set of equilibrium points, limit cycles . ;Theorem 4 (Local Invariant Set Theorem ):Let D be a positively invariant set of (1.2) .Let be a continuously differentiable function...
Re(lM,1), is a measure of stability, as it expresses the amount of self-regulation we would need to stabilize the equilibrium20,32. Our analysis (Fig. 3; Methods) highlights that there are three main parameterizations we need to consider: (a) mean interaction strength close to zero (mE...
www.nature.com/scientificreports OPEN Loss of stability and unfolding cooperativity in hPGK1 upon gradual structural perturbation of its N‑terminal domain hydrophobic core Juan Luis Pacheco‑García1, Dmitry S. Loginov2, Athi N. Naganathan3, Pavla Vankova4, Mario...
结构力学(英) Chapter2 Equilibrium and Geometric Stability PPT精品课件
Now, since the fluctuations at the stationary points occur with a time-scale much shorter than the time scale of switching from one phenotypic state to another, implying that the actual jump from one phenotypic state to the another it fast compared to the time spent in either of the ...
the availability of multiple specimens from populations sampled at two or more points in time (as reviewed by Habel et al.6). Although challenging, temporal sampling methods were already successfully applied to estimate Ne in natural populations (reviewed in ref. 6). In this manner several ...