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.
The necessary coupling of quantum systems to the fractal dynamical
space also implies the generation of masses, as now the waves are not propagating through a structureless Euclidean geometrical space: this may provide a dynamical
mechanism for the Higgs phenomenology.
Definition 1 The drive dynamical
networks (1) and response dynamical
networks (2) is said to achieve hybrid generalized function projective delay synchronization if there exists a diagonal matrix P = diag([P.
So the problem treated in the present article lies in constructing a dynamical
system which characterizes tr [M.
space is a phenomenon repeatedly detected by a variety of experimental techniques .
In this Section we put together some notions and facts from the theory of dynamical
systems (both with continuous and discrete time) that are used in our paper.
The problem is about creating rational functions meeting the feasibility requirement and the desired dynamical
Haddad and Chellaboina view a dynamical
system as a precise mathematical object defined on a time set as a mapping between vector spaces satisfying a set of axioms.
By looking at the region outside the black hole we have shown how to ascertain how much a dynamical
black hole differs from the Kerr solution.
The experimental measurements have been carried out using the dynamical
stend, which allowed to follow influence of the aggregate parameters on irregularity of angular velocity [omega](t) and driving moment M(t) or to obtain dynamical
characteristic of the machine aggregate in its stable and passage state in the form M([omega]).
We would like to thank Professor Martin Bohner, Editor in Chief of Advances in Dynamical
Systems and Applications, for accepting our offer to form this special volume.
The theory in  shows that every dynamical
system of order one can be prolonged to an Euler-Lagrange dynamical
system of order two whose trajectories are geodesies of a Lagrangian defined by the velocity vector field (Lagrange structure of order one).