Titlebook: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem; Kenneth R. Meyer,Daniel C. Offin Textbook 2017Latest edition Springe

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Beginnings,even-dimensional space. If the forces are derived from a potential function, the equations of motion of the mechanical system have many special properties, most of which follow from the fact that the equations of motion can be written as a Hamiltonian system. The Hamiltonian formalism is the natural

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,Poincaré’s Continuation Method,mall parameter is zero, a periodic solution is obvious, and then by using the implicit function theorem it is shown that the periodic solution is in a family of periodic solutions. Poincaré used these ideas extensively, and they have become known as the .; see Poincaré (.).

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