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Showing 1 to 4 of 4 for “"Families of periodic orbits"”.
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Multidimensional continuation of families of periodic orbits
… we develop an atlas algorithm for continuation of piecewise polynomial discretizations of periodic orbits of ordinary differential equations. Such an algorithm generates a discretized representation of a manifold of such orbits embedded in a larger variable space. Each chart associated with the …
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Hamiltonian bifurcations in Schrodinger trimers
The phase space of the three-mode discrete NLS in the nonlinear regime with periodic boundary conditions is investigated by reducing the degree of freedom from three down to two. The families of standing waves are enumerated and normal forms are used to describe several families of relative …
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Analytical perspectives on localized solutions of the phi-4 theory
… first objective is to explain the chaotic motion of the resonantly driven kink. To this end, we consider the evolution of the kink's wobbling and rocking modes and their coupling. To improve the asymptotic expansion of the wobbling and rocking amplitudes, we introduce a slowly varying width of the …
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ΙΣΗΜΕΡΙΝΕΣ ΚΙΝΗΣΕΙΣ ΦΟΡΤΙΣΜΕΝΩΝ ΣΩΜΑΤΙΔΙΩΝ ΣΕ ΑΠΟΜΟΝΩΜΕΝΑ ΜΑΓΝΗΤΙΚΑ ΖΕΥΓΗ ΥΛΙΚΩΝ ΣΩΜΑΤΩΝ
THIS THESIS DEALS WITH THE EQUATORIAL MOTIONS OF A CHARGED PARTICLE IN A MAGNETIC-BINARY SYSTEM. USING THE STEEPEST DESCENT METHOD, THE PERMISSIBLE AREAS OFMOTION ARE DERIVED THROUGH THEIR ZERO-VELOCITY CONTOURS. THESE CONTOURS REVEAL A NUMBER OF EQUILIBRIUM POINTS ON EACH EQUATORIAL PLANE, THE …