TY  - BOOK
AU  - Sanders, J.A.
AU  - Verhulst, F.
AU  - Murdock, J.
TI  - Averaging methods in nonlinear dynamical systems
SN  - 9780387489162
U1  - 515.7 
PY  - 2007///
CY  - New York
PB  - Springer
KW  - Differentiable dynamical systems
KW  - Differential equations
KW  - Mathematics
N1  - 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
ER  -