Averaging methods in nonlinear dynamical systems/ J.A. Sanders, F. Verhulst and J. Murdock
Material type: TextSeries: (Applied mathematical sciences) ; v. 59Publication details: New York: Springer, 2007Edition: 2nd edDescription: xxi, 431 p. : ill. ; 24 cmISBN: 9780387489162Subject(s): Differentiable dynamical systems | Differential equations | MathematicsDDC classification: 515.7Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books | Central Library, Sikkim University General Book Section | 515.7 SAN/A (Browse shelf(Opens below)) | Available | P25371 |
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.
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