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Canonical transformations of linear Hamiltonian systems [PDF]

E3S Web of Conferences
In 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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Linear port-Hamiltonian descriptor systems [PDF]

Mathematics of Control, Signals, and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beattie, Christopher, Mehrmann, Volker, Xu, Hongguo, Zwart, Hans   +3 more
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Limit Cycles of Polynomially Integrable Piecewise Differential Systems

Axioms, 2023
In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides.
Belén García, Jaume Llibre, Jesús S. Pérez del Río, Set Pérez-González   +3 more
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Hamiltonian and Variational Linear Distributed Systems [PDF]

Mathematical and Computer Modelling of Dynamical Systems, 2002
We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown that a system described by ordinary linear constant-coefficient differential equations is Hamiltonian if and only if it is variational.
Rapisarda, Paolo, Trentelman, Harry L.
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A Liapunov Inequality for Linear Hamiltonian Systems [PDF]

Mathematical Inequalities & Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clark, Steve, Hinton, Don
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Structural identifiability of linear Port Hamiltonian systems

Systems & Control Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Medianu, Silviu, Lefèvre, Laurent
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Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

Moroccan Journal of Pure and Applied Analysis, 2021
The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
doaj   +1 more source

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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Linear port-Hamiltonian DAE systems revisited

Systems & Control Letters, 2022
13 ...
Arjan van der Schaft, Volker Mehrmann
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Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions

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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