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Titlebook: Construction of Mappings for Hamiltonian Systems and Their Applications; Sadrilla S. Abdullaev Book 2006 Springer-Verlag Berlin Heidelberg

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Die Gewissheit unsicherer Zeitenonstruct symplectic maps for generic continuous Hamiltonian systems. We consider the generic Hamiltonian system (2.2) with small time-periodic perturbations. We shall discuss the main difficulties to construct mappings from Hamiltonian equations, and the shortcomings.
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Die Gewissheit unsicherer Zeiten function .(.). It means that the time evolution of system (.(.), .(.)) can be found through its initial position (.(.), .(.)) by the forward, (.(.), .(.)) → (.(.), .(.)), and the backward, (.(.), .(.)) → (.(.), .(.)), canonical transformations (1.20) given by the generating function .(.,., .) taken
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Ungleiche Netzwerke - Vernetzte Ungleichheitom (see, e.g., Cary and Littlejohn (1983); Boozer (1983); Morrison (2000)). The Hamiltonian formulation of magnetic field lines has been instrumental in early studies of the problems of stability and destruction of magnetic surfaces in tokamaks and stellarators due to the presence of magnetic pertur
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Construction of Mappings for Hamiltonian Systems and Their Applications
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Magnetic Field Lines in Fusion Plasmas,om (see, e.g., Cary and Littlejohn (1983); Boozer (1983); Morrison (2000)). The Hamiltonian formulation of magnetic field lines has been instrumental in early studies of the problems of stability and destruction of magnetic surfaces in tokamaks and stellarators due to the presence of magnetic pertur
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Perturbation Theory for Nearly Integrable Systems,perturbation of the integrable system. To study perturbed systems special theoretical methods, known as ., have been developed. They are based on the assumption that the solutions of a perturbed system are close to the corresponding solutions of the unperturbed (integrable) system, and one seeks the
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