Lu, "Partial-information-based synchronization analysis for complex
dynamical networks," Journal of the Franklin Institute, vol.
According to Lemma 4, the decrease of V(x) in finite time drives the trajectories of the
dynamical system into [V.sup.[eta]](x).
In this paper, hybrid generalized function projective delay synchronization of complex
dynamical networks are discussed.
Ruelle,
Dynamical zeta functions for piecewise monotone maps of the interval, CRM Monograph Series, 4, Amer.
Hence the fundamental insight is that Newton's gravitational acceleration field g(r, t) for matter is really the acceleration field a(r, t) of the structured
dynamical space and that quantum matter acquires that acceleration because it is fundamentally a wave effect, and the wave is refracted by the accelerations of space.
Let X := W x [OMEGA] and (X, [Z.sub.+], [pi]) be a semigroup
dynamical system on X, where [pi](n, (u, [omega])) := ([phi](n, u, [omega]), [sigma](n, [omega])) for all u [member of] W and u [member of] [OMEGA], then (X, [Z.sub.+], [pi]) is called [19] a skew-product
dynamical system, generated by the cocycle <W, [phi], ([OMEGA], [phi], [Z.sub.+], a)>.
where U (s) is immobility (mechanical impedance), Z (s) is
dynamical stiffness on the plane of complex variable s.
On the other hand, the numerical integration of the
dynamical system uses the classical Runge-Kutta method.
We propose such an additive noise test case for the
dynamical core development effort.
The
dynamical model with a nonlinear friction model of a robot manipulator is given in Section 2.
A
dynamical system (X, F) is topologically transitive if and only if, for all nonempty subsets U and V of X, there exist n positive such that the iteration of F on U intersects V at least at a point.