Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations.
Mehrmann, Volker, Xu, Hongguo (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Mehrmann, Volker, Xu, Hongguo (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Rodman, Leiba (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Sun, Shurong, Bohner, Martin, Chen, Shaozhu (2010)
Abstract and Applied Analysis
Similarity:
Benner, Peter, Mehrmann, Volker, Xu, Hongguo (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Similarity:
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
Similarity:
E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
Similarity:
Henryk Żołądek (2011)
Banach Center Publications
Similarity:
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.
Boris Khesin (1993)
Recherche Coopérative sur Programme n°25
Similarity:
Bach, V., Hoppe, J., Lundholm, D. (2008)
Documenta Mathematica
Similarity:
Praught, Jeffery, Smirnov, Roman G. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Jens-P. Bode, Anika Fricke, Arnfried Kemnitz (2015)
Discussiones Mathematicae Graph Theory
Similarity:
In 1980 Bondy [2] proved that a (k+s)-connected graph of order n ≥ 3 is traceable (s = −1) or Hamiltonian (s = 0) or Hamiltonian-connected (s = 1) if the degree sum of every set of k+1 pairwise nonadjacent vertices is at least ((k+1)(n+s−1)+1)/2. It is shown in [1] that one can allow exceptional (k+ 1)-sets violating this condition and still implying the considered Hamiltonian property. In this note we generalize this result for s = −1 and s = 0 and graphs that fulfill a certain connectivity...
Gary Chartrand, S. F. Kapoor (1974)
Colloquium Mathematicae
Similarity:
Roman Šimon Hilscher, Petr Zemánek (2010)
Mathematica Bohemica
Similarity:
In this paper we consider a linear operator on an unbounded interval associated with a matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the recessive system of solutions at infinity. This generalizes a similar result obtained by Marletta and Zettl for linear operators defined by even order Sturm-Liouville differential equations.