Titlebook: Averaging Methods in Nonlinear Dynamical Systems; Jan A. Sanders,Ferdinand Verhulst,James Murdock Book 2007Latest edition Springer-Verlag

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Macedonische Kriegseinrichtungen,This chapter will be concerned with the theory of averaging for equations in the standard form

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Macedonische Kriegseinrichtungen,In this chapter we consider systems of the form

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https://doi.org/10.1007/978-3-642-48555-8After introducing some concepts of Hamiltonian systems, we will discuss normalization in a Hamiltonian context. The applications will be directed at the basic resonances of two and three degree of freedom systems.

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,Denkmälerarten und Funktionsbereiche,This appendix is an adaptation and extension of the paper [280].

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Basic Material and Asymptotics,In this chapter we collect some material which will play a part in the theory to be developed in the subsequent chapters. This background material consists of the existence and uniqueness theorem for initial value problems based on contraction and, associated with this, continuation results and growth estimates.

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Averaging: the General Case,This chapter will be concerned with the theory of averaging for equations in the standard form