In the Wigner-based formalism, a system is described in terms of time-dependent complex coherent amplitudes (alpha (t)= alpha _{1}(t), alpha _{2}(t),dots, alpha _{m}(t))^{T}) for the internal cavity modes and external inputs (beta _{mathrm {in}}(t) = (beta _{mathrm {in},{1}}(t), beta _{mathrm {in},{2}}(t), dots, beta _{mathrm {in},{n}}(t))^{T}).
Using the example of a composite movement we illustrate how different architectures can be characterized by their degree of time scale separation between the internal elements of the architecture (i.e. the functional modes) and external interventions.
For anisotropic Coulomb's dry friction, in light of the non-smooth factors in both the internal control mode and external resistance, method of averaging is adopted to obtain an approximate expression of the average steady-state velocity when the stick slip motion is absent.
We consider resonator models with m internal modes and n external inputs and outputs.
Numerical approaches can effectively describe different cantilever-surface inclination angles, vibrational modes, and varying external driving forces [2],[2],[2]].
So that, in this dual mode, internal and external, the own body comes alive as the same body (Stein 1917, pag.125), and the foreign body as the not-own-body.
Likewise, the anterior insula, potentially together with the anterior cingulate cortex, appears to pivotally influence the dynamics between large-scale brain networks subserving internal (default-mode network) and external (executive control network) information processing.
A detailed parametric study is conducted to elucidate the influences of the small scale coefficient, stiffness of the internal elastic medium, graphene length, mode number and external electric voltage on the buckling smart control of the SLGS.
In previous research, radiation mode expressions have been developed for planar and spherical structures, as well as axisymmetric modes of internal and external radiation from cylinders.
The large gene number, various tissue-specific expression patterns and versatile regulatory modes under internal and external cues make it very complicated to explore the specific role of a certain GmPIN gene in soybean development.
Apple's tablet can be mounted in portrait or landscape mode, and the external keyboard has dedicated buttons for volume, music and video players, and the iPad's search screen.
