๐”– Bobbio Scriptorium
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A reduced form for linear differential systems and its application to integrability of Hamiltonian systems

โœ Scribed by Ainhoa Aparicio-Monforte; Jacques-Arthur Weil


Book ID
113756537
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
375 KB
Volume
47
Category
Article
ISSN
0747-7171

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In this paper, an application of the Riquer-Thomas-Janet theory is described for the problem of transforming a system of partial differential equations into a passive form, i.e., to a special form which contains explicitly both the equations of the initial system and all their nontrivial differentia

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We prove that in all but one case the normal form of a real or complex Hamiltonian matrix which is irreducible and appropriately normalized can be computed by Lie series methods in formally the same manner as one computes the normal form of a nonlinear Hamiltonian function. Calculations are emphasiz