On the question of stability in a Hamiltonian system
A. D. Bruno (1989)
Banach Center Publications
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A. D. Bruno (1989)
Banach Center Publications
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Moser, Jürgen (1998)
Documenta Mathematica
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Giorgilli, Antonio (1998)
Documenta Mathematica
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Robert Gębarowski (2011)
Banach Center Publications
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Hydrogen atoms placed in external fields serve as a paradigm of a strongly coupled multidimensional Hamiltonian system. This system has been already very extensively studied, using experimental measurements and a wealth of theoretical methods. In this work, we apply the Morales-Ramis theory of non-integrability of Hamiltonian systems to the case of the hydrogen atom in perpendicular (crossed) static electric and magnetic uniform fields.
M. M. Zdravkovich (1970)
Matematički Vesnik
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Stubbe, Joachim (1989)
Portugaliae mathematica
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Hoever, Georg, Siedentop, Heinz (1999)
Mathematical Physics Electronic Journal [electronic only]
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Stanisław Kasprzyk (1972)
Annales Polonici Mathematici
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Sam B. Nadler, Jr. (1973)
Colloquium Mathematicae
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Hayashi, Shuhei (1998)
Documenta Mathematica
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Sylvie Benzoni-Gavage, Pascal Noble, L. Miguel Rodrigues (2013)
Journées Équations aux dérivées partielles
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Partial differential equations endowed with a Hamiltonian structure, like the Korteweg–de Vries equation and many other more or less classical models, are known to admit rich families of periodic travelling waves. The stability theory for these waves is still in its infancy though. The issue has been tackled by various means. Of course, it is always possible to address stability from the spectral point of view. However, the link with nonlinear stability - in fact, stability, since...
Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Leites, D. (2004)
Journal of Mathematical Sciences (New York)
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Francois Lalonde, Dusa McDuff (1995)
Inventiones mathematicae
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