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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Volume preserving Gauss curvature flow of convex hypersurfaces in the hyperbolic space
双曲空间 凸超曲面 保体积 高斯曲率流
2023/5/15
In this talk, we discuss Y. Wei, B. Yang and T. Zhou’s preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...
Motion by Volume Preserving Mean Curvature Flow Near Cylinders
Motion by Volume Mean Curvature Flow Cylinders Analysis of PDEs
2012/5/24
Center manifold analysis can be used in order to investigate the stability of the stationary solutions of various PDEs. This can be done by considering the PDE as an ODE between certain Banach spaces ...
Resonances and Twist in Volume-Preserving Mappings
Volume-Preserving Mappings invariant tori
2010/4/2
The phase space of an integrable volume-preserving map with one action is foliated by a one-parameter family of invariant tori. Perturbations lead to chaotic dynamics with interesting transport proper...
Volume-preserving Fields and Reeb Fields on
Volume-preserving fields Contact Contact forms Reeb-like fields Volume-preserving sphere Poisson matrices
2007/12/11
Volume-preserving field} $X$ on a 3-manifold is the one that satisfies $L_X\Omega\equiv 0$ for some volume $\Omega$. The Reeb vector field of a contact form is of volume-preserving, but not conversely...
I.Introduction Source-free dynamical systems are of great importance in many branches of physics. A significant subject for such systems is to design "proper" numerical algorithms. Since the phase flo...
Reduction of Volume-preserving Flows on an n-dimensional Manifold
non-autonomous lienard system periodic solution
2007/12/10
A geometric reduction procedure for volume-preserving flows with a volume-preserving symmetry on an n-dimensional manifold is obtained. Instead of the coordinate-dependent theory and the concrete coor...
In this article, we analyze and study under what conditions a source-free system has volumepreserving RK schemes. For linear systems, we give a comparatively thorough discussion about RK methods to b...
On General Volume-Preserving Mechanical Systems via Cohomology
volume-preserving
mechanical system symplectic manifold cohomology
2007/8/15
2003Vol.40No.5pp.595-600DOI:
On General Volume-Preserving Mechanical Systems via Cohomology
ZHOU Bin,1 GUO Han-Ying,2 and WU Ke3
1 Institute of High Energy Physics, the...