Results 21 to 30 of about 37,694 (310)

On the geometry of Hamiltonian vector fields [PDF]

E3S Web of Conferences, 2023
It is known that vector fields play an important role in many areas of mathematics and technology, in particular, in the theory of dynamical systems. Hamiltonian dynamical systems are generated by Hamiltonian vector fields. The paper studies the geometry
Narmanov Abdigappar, Diyarov Bekzod
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On the perturbations of a Hamiltonian system

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yingjing Hu, Lixia Duan, Yi Huang, Yuhai Wu   +3 more
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Stabilization of Hamiltonian systems [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 1986
Stabilization of Hamiltonian control systems is considered, using the first and the second Lypunov method. As the main result sufficient conditions are stated for an analytic Hamiltonian control system to be made locally asymptotically stable by an extended output feedback i.e. both the outputs and their derivatives are fed back.
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On Linear Hamiltonian Systems

MATEC Web of Conferences, 2017
In this paper we consider the normalization of quadratic Hamiltonian. We get the new method to find the generating function of the canonical transformation. We obtain the solution of the system of matrix equations to find this transformation.
Titova Tatiana
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DISCRETE PORT HAMILTONIAN SYSTEMS [PDF]

IFAC Proceedings Volumes, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Talasila, V., Clemente Gallardo, J.J., van der Schaft, A.J.   +2 more
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Experimental study of tensor invariants of Hamiltonian systems [PDF]

Theoretical and Applied Mechanics
Typically, one considers the problem of finding the minimum number of invariants of a dynamical system sufficient for integrability. It can be also assumed that there are invariants not related to integrability that describe other properties of the ...
Tsiganov A. V.
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Symmetry Preserving Discretization of the Hamiltonian Systems with Holonomic Constraints

Mathematics, 2021
Symmetry preserving difference schemes approximating equations of Hamiltonian systems are presented in this paper. For holonomic systems in the Hamiltonian framework, the symmetrical operators are obtained by solving the determining equations of Lie ...
Lili Xia, Mengmeng Wu, Xinsheng Ge
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Canonical transformations of linear Hamiltonian systems [PDF]

E3S Web of Conferences
In this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
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Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions

Journal of Applied Mathematics, 2013
This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions
Yuan Shan, Baoqing Liu
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A partial Hamiltonian approach for current value Hamiltonian systems [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2014
We develop a partial Hamiltonian framework to obtain reductions and closed-form solutions via first integrals of current value Hamiltonian systems of ordinary differential equations (ODEs). The approach is algorithmic and applies to many state and costate variables of the current value Hamiltonian.
Rahila Naz, Fazal Mahmood Mahomed, Azam Chaudhry   +2 more
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