9 citations · 17 across the 15 of their papers we have counts for
15 papers
Geometric Reductions, Dynamics and Controls for Hamiltonian System with Symmetry
Hong Wang
This is a survey article, from the viewpoint of the completeness of the Marsden- Weinstein reduction, to introduce briefly some recent developments of the symmetric reductions and…
Nonholonomic Controlled Hamiltonian System: Symmetric Reduction and Hamilton-Jacobi Equations
Hong Wang
In order to describe the impact of nonholonomic constraints for the dynamics of a regular controlled Hamiltonian (RCH) system, in this paper, for an RCH system with nonholonomic co…
Hamilton-Jacobi Equations of Nonholonomic Magnetic Hamiltonian Systems
Hong Wang
In order to describe the impact of different geometric structures and constraints for the dynamics of a Hamiltonian system, in this paper, for a magnetic Hamiltonian system defined…
Hamilton-Jacobi Equations of Controlled Magnetic Hamiltonian System with Nonholonomic Constraint
Hong Wang
In order to describe the impact of different geometric structures and constraints for the dynamics of a regular controlled Hamiltonian system, in this paper, we first define a kind…
Symmetric Reduction of Regular Controlled Lagrangian System with Momentum Map
Hong Wang
In this paper, following the ideas in Marsden et al.[18], we set up the regular reduction theory of a regular controlled Lagrangian (RCL) system with symmetry and momentum map, by…
Dynamical Equations of Controlled Rigid Spacecraft with a Rotor
Hong Wang
In this paper, we consider the controlled rigid spacecraft with an internal rotor as a regular point reducible regular controlled Hamiltonian (RCH) system. In the cases of coincide…
The Geometrical Structure of Phase Space of the Controlled Hamiltonian System with Symmetry
Hong Wang
In this paper, from the viewpoint of completeness of Marsden-Weinstein reduction, we illustrate how to give the definitions of a controlled Hamiltonian (CH) system and a reducible…
Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet
Hong Wang, Lingfu Zhang
The Strichartz estimates for Schrödinger equations can be improved when the data is spread out in either physical or frequency space. In this paper we give refinements of the 2-dim…
Hamilton-Jacobi Equations for Nonholonomic Reducible Hamiltonian Systems on a Cotangent Bundle
Manuel de León, Hong Wang
In this paper, for a variety of nonholonomic (reducible) Hamiltonian systems, we first give to various distributional Hamiltonian systems, by analyzing carefully the dynamics and s…
Regular Reduction of Controlled Magnetic Hamiltonian System with Symmetry of the Heisenberg Group
Hong Wang
A controlled magnetic Hamiltonian (CMH) system is a regular controlled Hamiltonian (RCH) system with magnetic symplectic form, it is an important special case of RCH system. Note t…
Poisson Reduction of Controlled Hamiltonian System by Controllability Distribution
Tudor S. Ratiu, Hong Wang
In this paper, we first study the Poisson reductions of controlled Hamiltonian (CH) system and symmetric CH system by controllability distributions. These reductions are the extens…
Symmetric Reduction and Hamilton-Jacobi Equations of the Controlled Underwater Vehicle-Rotor System
Hong Wang
In this paper, we first give the regular point reduction and the two types of Hamilton-Jacobi equation for a regular controlled Hamiltonian (RCH) system with symmetry and momentum…
Hamilton-Jacobi Theorems for Regular Controlled Hamiltonian System and Its Reduced Systems
Hong Wang
In this paper, we give precisely the geometric constraint conditions of canonical symplectic form and regular reduced symplectic forms for the dynamical vector fields of a regular…
Hamilton-Jacobi Theorems for Regular Reducible Hamiltonian Systems on a Cotangent Bundle
Hong Wang
In this paper, some of formulations of Hamilton-Jacobi equations for Hamiltonian system and regular reduced Hamiltonian systems are given. At first, an important lemma is proved, a…
Regular Reduction of Controlled Hamiltonian System with Symplectic Structure and Symmetry
Jerrold E. Marsden, Hong Wang, Zhen-Xing Zhang
In this paper, our goal is to study the regular reduction theory of regular controlled Hamiltonian (RCH) systems with symplectic structure and symmetry, and this reduction is an ex…