Results 21 to 30 of about 377,401 (276)
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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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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Canonical transformations of linear Hamiltonian systems [PDF]
E3S Web of ConferencesIn 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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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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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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Frontiers in Applied Mathematics and Statistics, 2023 We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations.
Bernardo Cockburn +2 more
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International Journal of Mathematics and Mathematical Sciences, 2006 The Hamiltonian equation provides us an alternate description of the basic physical laws of motion, which is used to be described by Newton's law.
Xuncheng Huang, Guizhang Tu
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Supersymmetric Bi-Hamiltonian Systems [PDF]
Communications in Mathematical Physics, 2021 We construct super Hamiltonian integrable systems within the theory of Supersymmetric Poisson vertex algebras (SUSY PVAs). We provide a powerful tool for the understanding of SUSY PVAs called the super master formula. We attach some Lie superalgebraic data to a generalized SUSY W-algebra and show that it is equipped with two compatible SUSY PVA ...
Sylvain Carpentier, Uhi Rinn Suh
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 By using the saddle point theorem, some new existence theorems are obtained for second-order Hamiltonian systems with impulsive effects in the cases when the gradient of the nonlinearity grows sublinearly and grows linearly respectively.
Xiaofei He, Peng Chen
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Hidden Nambu mechanics - A variant formulation of Hamiltonian systems - [PDF]
, 2013 We propose a variant formulation of Hamiltonian systems by the use of variables including redundant degrees of freedom. We show that Hamiltonian systems can be described by extended dynamics whose master equation is the Nambu equation or its ...
Horikoshi, Atsushi, Kawamura, Yoshiharu
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