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

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On the Force Fields Which Are Homogeneous of Degree ?3. He also noticed that the addition of a force in 1∕.. to another force results in a kind of precession of the orbit, see?[14, Book 1,?Proposition?44]. In 1842, Jacobi?[8] gave general results about the force fields which are homogeneous of degree ? 3 and derived from a potential. More recently, Mon

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Generalized Discrete Nonlinear Schr?dinger as a Normal Form at the Thermodynamic Limit for the Klein degrees of freedom and, in particular, in the thermodynamic limit. Indeed, motivated by the problems arising in the foundations of Statistical Mechanics, it is relevant to consider large systems (e.g., for a model of a crystal the number of particles should be of the order of the Avogadro number) w

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Central Configurations of an Isosceles Trapezoidal Five-Body Problem, we study the central configuration of the isosceles trapezoidal five-body problem where four of the masses are placed at the vertices of the isosceles trapezoid and the fifth body can take various positions on the axis of symmetry. We identify regions in the phase space where it is possible to cho