An Existence Problem for Matroidal Families

Author(s):  
José Manuel dos Santos Simões-Pereira
Keyword(s):  
2011 ◽  
Vol 159 (1) ◽  
pp. 46-52 ◽  
Author(s):  
Moo Young Sohn ◽  
Dongseok Kim ◽  
Young Soo Kwon ◽  
Jaeun Lee

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.


1987 ◽  
Vol 30 (3) ◽  
pp. 318-324 ◽  
Author(s):  
Paul Y. H. Yiu

AbstractHidden behind a sums of squares formula are other such formulae not obtainable by restriction. This drastically simplifies the combinatorics involved in the existence problem of sums of squares formulae, and leads to a proof that the product of two sums of 16 squares cannot be rewritten as a sum of 28 squares, if only integer coefficients are permitted. We also construct all [10, 10, 16] formulae.


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