Averaging and Perturbation from a Geometric Viewpoint
In this chapter we describe some classical methods of analysis which are particularly applicable to problems in nonlinear oscillations. While these methods might be familiar to the reader who has studied nonlinear mechanics and perturbation theory, the present geometrical approach and the stress on obtaining approximations to Poincaré maps will probably be less familiar.
KeywordsPeriodic Orbit Hamiltonian System Phase Portrait Unstable Manifold Homoclinic Orbit
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