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.
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  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.
model with a nonlinear friction model of a robot manipulator is given in Section 2.
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.
An adaptive pinning control method is proposed in  to synchronize for a delayed complex dynamical
network with free coupling matrix.