where U (s) is immobility (mechanical impedance), Z (s) is dynamical
stiffness on the plane of complex variable s.
It must be emphasized though that such dynamical
effects are typical of drive design used at the examined locomotive.
which is a non-potential dynamical
system of order two.
Section 2 provides the necessary background information on the invariance and conserved quantities of dynamical
system and especially the Noether's theorem.
1] the sensitive dependence of the dynamical
system on initial conditions in the sense of Guckenhaimer appears immediately from its transitivity and density of the set of its periodic points.
Fuller explorations of complex dynamical
systems may deliver a more useful perspective of these co-evolving phenomena, expanding into a deeper and more explicit comprehension of the phenomenon of Life itself
f]> (when removing dynamical
contributions as will be discussed later).
The author's focus on continuous evolutionary models of the deterministic variety means that, with the exception of some cursory discussion of the consequences of switching from continuous to discrete formulations of dynamical
systems, these modelling issues do not get addressed.
Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical
Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations.
These important results demonstrate that powerful dynamical
mechanisms (internal waves, magnetic fields, turbulence) are in action to extract angular momentum all along the evolution of stars.
R] is the speed of a clock or rod with respect to the dynamical
3-space, and where c is the speed of light with respect to the dynamical
Rather than add yet another to the many good general descriptions of dynamical
systems, Bollt and Santitissadeekorn draw connections between topological dynamics, symbolic dynamics, and information theory to show that these are also highly relevant to the Ulam-Galerkin representations.