A system of coupled oscillators with magnetic terms: symmetries and integrals of motion.
Rañada, Manuel F. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Bi-Hamiltonian structure as a shadow of non-Noether symmetry.”
A system of coupled oscillators with magnetic terms: symmetries and integrals of motion.
Lagrangian approach to dispersionless KdV hierarchy.
Choudhuri, Amitava, Talukdar, B., Das, U. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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By Magri's theorem, self-dual gravity is completely integrable.
Nutku, Yavuz (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Popowicz, Ziemowit (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Andrew Lenard: a mystery unraveled.
Praught, Jeffery, Smirnov, Roman G. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility.
Sergyeyev, Artur (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hamiltonian Dynamics on Pseudodifferential Symbols
Boris Khesin (1993)
Recherche Coopérative sur Programme n°25
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On the generalized Maxwell-Bloch equations.
Saksida, Pavle (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hamiltonian Systems Close to Integrable Systems
E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
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A simple proof of the non-integrability of the first and the second Painlevé equations
Henryk Żołądek (2011)
Banach Center Publications
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The first and the second Painlevé equations are explicitly Hamiltonian with time dependent Hamilton function. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems in ℂ⁴. We prove that the latter systems do not have any additional algebraic first integral. In the proof equations in variations with respect to a parameter are used.
On a “mysterious” case of a quadratic Hamiltonian.
Sakovich, Sergei (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On Hamiltonian properties of powers of special Hamiltonian graphs
Gary Chartrand, S. F. Kapoor (1974)
Colloquium Mathematicae
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A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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