Results 1 to 10 of about 134,686 (230)
Discrete port-Hamiltonian systems: mixed interconnections [PDF]
Proceedings of the 44th IEEE Conference on Decision and Control, 2005 Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations.
Clemente-Gallardo, J. +2 more
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Periodic Solutions for Subquadratic Discrete Hamiltonian Systems [PDF]
Advances in Difference Equations, 2007 Some existence conditions of periodic solutions are obtained for a class of nonautono mous subquadratic first-order discrete Hamiltonian systems by the minimax methods in the critical point theory.
Xiaoqing Deng
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Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems [PDF]
Advances in Difference Equations, 2007 An existence result of multiple periodic solutions to the asymptotically linear discrete Hamiltonian systems is obtained by using the Morse index theory.
Zheng Bo
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Infinitely homoclinic solutions in discrete hamiltonian systems without coercive conditions
Journal of Numerical Analysis and Approximation Theory, 2020 In this paper, we investigate the existence of infinitely many solutions for the second-order self-adjoint discrete Hamiltonian system $$ \Delta\left[p(n)\Delta u(n-1)\right]-L(n)u(n)+\nabla W(n,u(n))=0, \tag{*} $$ where \(n\in\mathbb{Z}, u\in\mathbb{R}^
Fathi Khelifi
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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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Applied Sciences, 2021 We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems.
Odysseas Kosmas +2 more
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Open Mathematics, 2022 By applying the combination of discrete variational method and approximation, developed in a previous study [J. Kuang, W. Chen, and Z. Guo, Periodic solutions with prescribed minimal period for second-order even Hamiltonian systems, Commun.
Kuang Juhong, Chen Weiyi
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Does causal dynamics imply local interactions? [PDF]
Quantum, 2022 We consider quantum systems with causal dynamics in discrete spacetimes, also known as quantum cellular automata (QCA). Due to time-discreteness this type of dynamics is not characterized by a Hamiltonian but by a one-time-step unitary.
Zoltán Zimborás +3 more
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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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Discrete port-controlled Hamiltonian dynamics and average passivation [PDF]
, 2019 The paper discusses the modeling and control of port-controlled Hamiltonian dynamics in a pure discrete-time domain. The main result stands in a novel differential-difference representation of discrete port-controlled Hamiltonian systems using the ...
Mattioni M. +3 more
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