Titlebook: Nonlinear Differential Equations and Dynamical Systems; Ferdinand Verhulst Textbook 1996Latest edition Springer-Verlag Berlin Heidelberg 1

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,The Poincaré-Lindstedt method,In this chapter we shall show how to find convergent series approximations of . solutions by using the expansion theorem and the periodicity of the solution. This method is usually called after Poincaré and Lindstedt, it is also called the continuation method.

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Hamiltonian systems,In dynamical systems theory, conservative systems, in particular Hamiltonian systems, play an important part. Especially in applications from mechanics, the underlying structure is usually Hamiltonian to which dissipative effects have been added. Exploring this underlying structure is usually profitable.

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