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Integrable Hamiltonian systems with incomplete flows and Newton's polygons
integrable Hamiltonian system incomplete Hamiltonian flows Newton’s polygon
2011/9/1
Abstract: We study the Hamiltonian vector field $v=(-\partial f/\partial w,\partial f/\partial z)$ on $\mathbb C^2$, where $f=f(z,w)$ is a polynomial in two complex variables, which is non-degenerate ...
Parity balance of the $i$-th dimension edges in Hamiltonian cycles of the hypercube
Hypercube Hamiltonian cycles i-th dimension edges equi-independence number
2010/12/8
Let n 2 be an integer, and let i 2 f0; : : : ; n 1g. An i-th dimension edge in the n-dimensional hypercube Qn is an edge v1v2 such that v1; v2 di er just at their i-th entries. The parity...
On compatible metrics and diagonalizability of non-locally bi-Hamiltonian systems of hydrodynamic type
hydrodynamic type bi-Hamiltonian systems
2010/4/7
We study bi-Hamiltonian systems of hydrodynamic type with non-singular (semisimple) non-local bi-Hamiltonian structures and prove that such systems of hydrodynamic type are diagonalizable. Moreover, w...
Fractal Weyl law behavior in an open, chaotic Hamiltonian system
chaotic Hamiltonian system Fractal Weyl law
2010/4/8
We numerically show fractal Weyl law behavior in an open Hamiltonian system that is described by a smooth potential and which supports numerous above-barrier resonances. This behavior holds even relat...
专著信息
书名
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
J. Computational Physics, to appe...
专著信息
书名
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with partial transmissions and reflections,
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
SIAM J. Numerial Analysis, s...