Nonlinear vibration, dynamical systems, and bifurcation of vector fields

Author: J. Guckenheimer P. Holmes
Publisher:
Publish Date: 1999-10-01
Features: Problems in dynamics have fascinated physical scientists (and mankind in general) for thousands of years. Notable among such problems are those of celestial mechanics, especially the study of the motions of the bodies in the solar system. Newton's attempts to understand and model their observed motions incorporated Kepler's laws and led to his development of the calculus. With this, the study of models of dynamical problems as differential equations began.