Applied Mathematical Sciences
1 primary work
Book 42
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
by John Guckenheimer and Philip Holmes
Published June 1990
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.