By John; Holmes, Philip Guckenheimer
This booklet utilized the concepts of dynamical platforms and bifurcation theories to the research of nonlinear oscillations. Taking the cue from Poincare, the authors pressure the geometrical and topological houses of recommendations of differential equations and iterated maps. a number of workouts, a few of which require nontrivial algebraic manipulations and machine paintings, show the real analytical underpinnings of difficulties in dynamical platforms and aid the reader advance an intuitive suppose for the houses concerned. during this 5th printing the authors have corrected additional blunders, oversights and updates.