000			00381nam a2200145Ia 4500
999			_c170393 _d170393
020			_a9780387489162
040			_cCUS
082			_a515.7 _bSAN/A
100			_aSanders, J.A.
245		0	_aAveraging methods in nonlinear dynamical systems/ _cJ.A. Sanders, F. Verhulst and J. Murdock
250			_a2nd ed.
260			_aNew York: _bSpringer, _c2007.
300			_axxi, 431 p. : _bill. ; _c24 cm.
440			_a(Applied mathematical sciences), _vv. 59
505			_aBasic 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.
650			_aDifferentiable dynamical systems
650			_aDifferential equations
650			_aMathematics
700			_aVerhulst, F.
700			_aMurdock, J.
942			_cWB16