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Workshop on Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
Workshop Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
2017/12/20
In recent years there has been a growing interest towards the integrability of systems which, though not Hamiltonian, retain some link to—or common origin with—Hamiltonian systems. One such field is t...
A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM
Dispersive estimates interaction Morawetz type (correlation) estimates many-body Hamiltonian many-body Schrodinger equation quantum hydrodynamics BBGKY hierarchy
2015/10/16
We study the evolution of a many-particle system whose wave function obeys the N-body Schr¨ odinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the...
An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
A note on micro-instability for Hamiltonian systems close to integrable
micro-instability Hamiltonian systems close to integrable
2015/9/25
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
Dynamics of the dominant Hamiltonian,with applications to Arnold diffusion
dominant Hamiltonian Arnold diffusion
2015/9/25
It is well know that instabilities of nearly integrable Hamiltonian systems occur around resonances. Dynamics near resonances of these systems is wellapproximated by the associated averaged system, ca...
We consider the motion of a particle governed by a weakly random Hamiltonian flow. We identify temporal and spatial scales on which the particle trajectory converges to a spatial Brownian motion. The ...
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system
Shilnikov Lemma normally hyperbolic critical manifold Hamiltonian system
2015/3/18
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system.
A note on the efficient implementation of Hamiltonian BVMs
Ordinary differential equations Runge-Kutta methods one-step methods,
2011/1/20
We discuss the efficient implementation of Hamiltonian BVMs (HBVMs), a recently introduced class of energy preserving methods for canonical Hamiltonian systems (see [2] and references therein), via th...
Representation of Hamiltonian formalism in dissipative mechanical system
Classical mechanics Lagrangian function Hamiltonian function
2010/9/21
Hamiltonian mechanics is the root of classical mechanics. Hamiltonian function is the modified version of Lagrangian function which is of the first order differential equations with generalized coordi...
Stable Hamiltonian structures in dimension three are supported by open books
Stable Hamiltonian structures dimension open books
2011/2/22
In dimension three, (cooriented) contact structures are closely related to open books via the following results, the rst due to Thurston-Winkelnkemper [8]and the other ones due to Giroux [6]:(1) Ever...
Energy and some Hamiltonian properties of graphs
Energy of graphs Hamiltonian property of graphs
2010/9/17
Using the energy of graphs, we present sufficient conditions for some Hamiltonian properties of graphs.
A new formulation of the Hamiltonian p_Median problem
Hamiltonian p Median Problem Location, Routing
2010/9/15
Location-Routing problems involve locating a number of facilities among candidate sites and establishing delivery routes to a set of users in such a way that the total system cost is minimized. A spec...
Hamiltonian图的泛圈性的一个充分条件
Hamiltonian图 充分条件
2007/12/11
设Ｇ是一个ｎ阶图，若对于每一个ｋ（３≤ｋ≤ｎ），Ｇ都含有长度为ｋ的圈，则称Ｇ为泛圈图．
非扰动耗散Hamiltonian振幅波方程的整体吸引子
整体吸引子 算子分解 非扰动系统
2007/12/11
本文研究了非扰动耗散Hamiltonian振幅波方程的长时间行为.通过算子分解和能量方程,我们分别得到了在E0和E1空间的整体吸引子.
Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
Regularity of Global attractor
2007/12/11
In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution op...