Averaging methods in nonlinear dynamical systems/
J.A. Sanders, F. Verhulst and J. Murdock
- 2nd ed.
- New York: Springer, 2007.
- xxi, 431 p. : ill. ; 24 cm.
- (Applied mathematical sciences), v. 59 .
Basic Material and Asymptotics -- Averaging: the Periodic Case -- Methodology of Averaging -- Averaging: the General Case -- Attraction -- Periodic Averaging and Hyperbolicity -- Averaging over Angles -- Passage Through Resonance -- From Averaging to Normal Forms -- Hamiltonian Normal Form Theory -- Classical (First-Level) Normal Form Theory -- Nilpotent (Classical) Normal Form -- Higher-Level Normal Form Theory -- The History of the Theory of Averaging -- A 4-Dimensional Example of Hopf Bifurcation -- Invariant Manifolds by Averaging -- Some Elementary Exercises in Celestial Mechanics -- On Averaging Methods for Partial Differential Equations.
9780387489162
Differentiable dynamical systems Differential equations Mathematics