Results 31 to 40 of about 24,687,007 (292)
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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Conditions on Shifted Passivity of Port-Hamiltonian Systems [PDF]
Systems & control letters (Print), 2017 In this paper, we examine the shifted passivity property of port-Hamiltonian systems. Shifted passivity accounts for the fact that in many applications the desired steady-state values of the input and output variables are nonzero, and thus one is ...
N. Monshizadeh +3 more
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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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Generalized port-Hamiltonian DAE systems [PDF]
Systems & control letters (Print), 2018 Motivated by recent work in this area we expand on a generalization of port-Hamiltonian systems that is obtained by replacing the Hamiltonian function representing energy storage by a Lagrangian subspace .
A. Schaft, B. Maschke
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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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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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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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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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Complex Dynamics of Some Hamiltonian Systems: Nonintegrability of Equations of Motion
Advances in Mathematical Physics, 2019 The main purpose of this paper is to study the complexity of some Hamiltonian systems from the view of nonintegrability, including the planar Hamiltonian with Nelson potential, double-well potential, and the perturbed elliptic oscillators Hamiltonian ...
Jingjia Qu
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