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Titlebook: Extended Abstracts Spring 2014; Hamiltonian Systems Montserrat Corbera,Josep Maria Cors,Andrei Korobei Conference proceedings 2015 Springe

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The Discrete Hamiltonian–Hopf Bifurcation for 4D Symplectic MapsWe consider a family of real-analytic symplectic four-dimensional maps ., ., . ≥ 1, with respect to the standard symplectic two-form ., where (.., .., .., ..) denote the Cartesian coordinates.
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Frederick R. Maxfield,Darrell J. Yamashirohich are placed in the vertices of a regular polygon on . vertices. The primaries can be fixed or rotate with an uniform velocity around their center of mass. The first case is called the .-center problem, and the second the restricted (. + 1)-body problem. The last case has been studied in [.], in this note we will mainly study the first one.
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Bifurcations of the Spatial Central Configurations in the 5-Body Problem of the reasons why central configurations are interesting is that they allow us to obtain explicit homographic solutions of the .-body problem, that is, motions where the configuration of the system changes size but keeps its shape. Also, they are important in the study of total collisions.
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Transport Dynamics: From the Bicircular to the Real Solar System Problemmation of the Solar System, a chain of independent Bicircular problems in order to get a first insight of transport in this simplified case. Each bicircular problem (BP) consists of the Sun (S), Jupiter (J), a planet and an infinitesimal mass.
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978-3-319-22128-1Springer International Publishing Switzerland 2015
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