Introduces the concept of stability preserving mappings to establish a qualitative equivalence between the two dynamical systems - the comparison system and the system to be studied. The book sets out to provide insight into dynamical systems unobtainable by usual treatments of the subject. This work is intended for pure and applied mathematicians; electrical and electronics, mechanical, civil, aerospace, and industrial engineers; control theorists; physicists; computer scientists; chemists; biologists; econometricians; operations researchers; and upper-level undergraduate and graduate students in these disciplines. College or university bookstores may order five or more copies at a special student price which is available on request.