Results 1 to 10 of about 9,550,679 (229)
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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Periodic Solutions for Subquadratic Discrete Hamiltonian Systems
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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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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Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
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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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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Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems
Journal of Applied Mathematics, 2012 A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not ...
Long Yuhua
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Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems
Abstract and Applied Analysis, 2010 We establish the Weyl-Titchmarsh theory for singular linear Hamiltonian dynamic systems on a time scale 𝕋, which allows one to treat both continuous and discrete linear Hamiltonian systems as special cases for 𝕋=ℝ and 𝕋=ℤ within ...
Shurong Sun, Martin Bohner, Shaozhu Chen
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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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