Introduction to dynamic systems analysis

the long version

Introduction to Dynamic Systems Analysis introduces fundamentals of dynamic systems theory at a beginning level. The first half of the book (Chapters 1-5) is dedicated to presenting the basic material needed in the study of the behavior of dynamic systems. This includes use of physical laws and constitutive relations to construct ordinary differential equation models of mechanical and other dynamic systems, the important concepts of equilibrium, stability, linearization, eigenvalue / eigenvector / state space methods for analysis of linear system behavior, and the transient and steady state responses of linear systems to external excitations from both the time and the frequency domain perspectives. The second half of the book (Chapters 6-10) provides applications-oriented material on dynamics, vibrations, controls, numerical methods, and nonlinear systems. In addition to an emphasis on the fundamentals of the subject, the book covers a number of more useful advanced topics at a readable, introductory level: Lagrange's equations, spectrum analysis, finite elements, modal analysis, and nonlinear dynamics and chaos.