Phase Diagram for Norms of the Solution Vector of Dynamical Multi-Degree-of-Freedom Systems

摘要

In the present paper, we generalize the y(t)-y(t)-phase diagram for the solution y(t) of a singlc-dcgree-of-freedom problem to the ||;y(t)||-.D+||y/(t)||-phase diagram for the norm y{t) of the solution vector y(t) of a multi-degree-of-freedom problem. As the main tool, the differential calculus for norms of vector functions is applied developed by the author is earlier work. The generalization process is described in several steps, each of which is illustrated by a numerical example. The new concept of phase diagram for norms of a vector should be of interest to many scientists, especially from areas of modeling and simulation.