The Existence Problem for Complete Mappings: The Hall-Paige Conjecture

Author(s):  
Anthony B. Evans
2011 ◽  
Vol 159 (1) ◽  
pp. 46-52 ◽  
Author(s):  
Moo Young Sohn ◽  
Dongseok Kim ◽  
Young Soo Kwon ◽  
Jaeun Lee

1993 ◽  
Vol 61 (2) ◽  
pp. 111-118 ◽  
Author(s):  
F. Dalla Volta ◽  
N. Gavioli
Keyword(s):  

Wave Motion ◽  
1994 ◽  
Vol 20 (3) ◽  
pp. 233-244 ◽  
Author(s):  
V.I. Alshits ◽  
D.M. Barnett ◽  
A.N. Darinskii ◽  
J. Lothe

1996 ◽  
pp. 409-412
Author(s):  
Shinsuke Hara ◽  
Takahiro Matsuda ◽  
Norihiko Morinaga

2011 ◽  
Vol 08 (06) ◽  
pp. 1169-1177 ◽  
Author(s):  
RUBEN FLORES ESPINOZA

In this paper, we study the existence problem of periodic first integrals for periodic Hamiltonian systems of Lie type. From a natural ansatz for time-dependent first integrals, we refer their existence to the existence of periodic solutions for a periodic Euler equation on the Lie algebra associated to the original system. Under different criteria based on properties for the Killing form or on exponential properties for the adjoint group, we prove the existence of Poisson algebras of periodic first integrals for the class of Hamiltonian systems considered. We include an application for a nonlinear oscillator having relevance in some modern physics applications.


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