Results 11 to 20 of about 134,686 (230)
Discrete embeddings for Lagrangian and Hamiltonian systems [PDF]
Acta Mathematica Vietnamica, 2018 The general topic of the present paper is to study the conservation for some structural property of a given problem when discretising this problem. Precisely we are interested with Lagrangian or Hamiltonian structures and thus with variational problems ...
Cresson, Jacky +2 more
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Lyapunov inequalities for discrete linear Hamiltonian systems
Computers & Mathematics with Applications, 2003 The authors study the discrete system \[ \begin{aligned} x(t+1)-x(t)&=a(t)x(t+1)+b(t)u(t)\\ u(t+1)-u(t)&=-c(t)x(t+1)-a(t)u(t). \end{aligned}\tag{1} \] They derive some Lyapunov type inequalities from (1). They use these inequalities to derive a disconjugacy criterion. Then they study the stability of (1) when the coefficients \(a(t)\), \(b(t)\) and \(c(
Guseinov, G.Sh., Kaymakçalan, B.
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Subharmonics with Minimal Periods for Convex Discrete Hamiltonian Systems [PDF]
Abstract and Applied Analysis, 2013 We consider the subharmonics with minimal periods for convex discrete Hamiltonian systems. By using variational methods and dual functional, we obtain that the system has a -periodic solution for each positive integer , and solution of system has minimal
Honghua Bin
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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. +2 more
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DISCRETE LEFT-DEFINITE HAMILTONIAN SYSTEMS
Journal of Applied Analysis & Computation, 2023 Summary: In this paper we consider an even-dimensional discrete Hamiltonian system on the set of nonnegative integers in the left-definite form. Using the inertia indices of the hermitian form related with the solutions of the equation we construct some maximal subspaces of the solution space.
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Sampled data systems passivity and discrete port-Hamiltonian systems [PDF]
IEEE Transactions on Robotics, 2005 In this paper, we present a novel way to approach the interconnection of a continuous and a discrete time physical system. This is done in a way which preserves passivity of the coupled system independently of the sampling time T. This strategy can be used both in the field of telemanipulation, for the implementation of a passive master/slave system on
S. Stramigioli +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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Integrable discrete systems on R and related dispersionless systems [PDF]
, 2007 The general framework for integrable discrete systems on R in particular containing lattice soliton systems and their q-deformed analogues is presented.
Burcu Silindir +5 more
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Port-Hamiltonian systems on discrete manifolds [PDF]
IFAC Proceedings Volumes, 2012 MATHMOD 2012 - 7th Vienna International Conference on Mathematical ...
Seslija, Marko +2 more
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