These issues and the methods to resolve them are of great importance also for other models in cellular biology and also for slow-fast dynamical
systems in general.
The Schrodinger equation must be extended to include the dynamical
According to this theory, dynamical
phenomena occurring in a curved space-time like black holes can be described by a theory on a flat space-time, just as a hologram can record the information of 3D objects on a plane.
Then, in the case of dynamical
models of the whole drive system obtained, the authors determine the controlling force applied on the system that counteracts the oscillation-inducing dynamical
loads active synthesis [3, 4, 6, 8].
The aim of the experiments on the traction vehicle was to show that intense dynamical
effects on the running gear of a locomotive occurred when wheelset sliding arose and terminated, whereas in the course of the gross sliding itself, the effects were less significant.
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).
The time derivative of V along the trajectory of the error dynamical
system (2) is as follows
A key tool for hardware and controller design, trajectory generation and dynamics analysis for robotics research is a dynamical
simulation tool capable of calculating all physical data with sufficient accuracy.
In Section 3 we define the dynamical
system connected with the von Foerster-Lasota equation.
Moreover, one of the hallmarks of dynamical
systems and chaos theory is the concept of sensitivity to initial conditions.