The general trend of Fig. 3 is oscillating behavior of the chemical hardness as a function of cluster size.
The defense mechanisms incorporated by proposed model against attacks such as bad mouthing attack, oscillating behavior attack and conflicting behavior attack are also demonstrated.
The most important feature of Fig. 7 is oscillating behavior of chemical hardness as a function of atomic percentage of Si.
Finally, if an entity shows oscillating behavior by randomly mixing both positive and negative actions, model attempts to judge the behavior and decreases the trust value in proportion to the number of negative actions and its on/off behavior count.
Malicious entities show oscillating behavior by behaving well and badly alternatively, hoping that they will not be detected and their trust value will continue to grow while causing damage.
Remark It is to be noticed that where the boundary values exhibit a rapidly oscillating behavior, the order N of the expansion (29) approximating the solution of the problem should be increased accordingly in order to achieve the desired numerical accuracy.
The phase times τ n as functions of the reduced thicknesses a/λ (a) and b/λ (b) for a superlattice (L/H/L) n made of fused silica (L) (n L =1.41) and titanium oxide (H) (n H =2.22) for λ=702 nm.The oscillating behavior of τ n with clear band structure is far away of any Hartman effect.
The model with a fixed pool shows a rich phase diagram with several characteristic behaviors: (a) an extremely long relaxation time, (b) fast relaxation preceded by oscillating behavior of the medium opinion, and (c) an even faster relaxation with an erratic medium.
Remark It is to be noticed that where the boundary values exhibit a rapidly oscillating behavior, the number N of terms in expansion (32) approximating the solution of the problem should be increased accordingly in order to achieve the desired numerical accuracy.
Given a system that exhibits oscillating behavior for some set of parameters, the central question of robustness is how far the parameters may be changed, such that the qualitative behavior does not change.
