Results 11 to 20 of about 19,239 (301)
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 in [1] that a system described by ordinary linear constant-coefficient differential equations is ...
Rapisarda, P. +7 more
core +7 more sources
Canonical transformations of linear Hamiltonian systems [PDF]
E3S Web of ConferencesIn 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
doaj +2 more sources
Dissipative linear stochastic hamiltonian systems [PDF]
2018 Australian & New Zealand Control Conference (ANZCC), 2019 This paper is concerned with stochastic Hamiltonian systems which model a class of open dynamical systems subject to random external forces. Their dynamics are governed by Ito stochastic differential equations whose structure is specified by a ...
Vladimirov, Igor, Petersen, Ian
core +3 more sources
Linear port-Hamiltonian descriptor systems [PDF]
Mathematics of Control, Signals, and Systems, 2018 The modeling framework of port-Hamiltonian systems is systematically extended to linear constrained dynamical systems (descriptor systems, differential-algebraic equations) of arbitrary index and with time-varying constraints.
Mehrmann, Volker +4 more
core +4 more sources
Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System
Abstract and Applied Analysis, 2013 This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits.
Yanqin Xiong, Maoan Han
doaj +2 more sources
Learnability of Linear Port-Hamiltonian Systems
J. Mach. Learn. Res., 2023 A complete structure-preserving learning scheme for single-input/single-output (SISO) linear port-Hamiltonian systems is proposed. The construction is based on the solution, when possible, of the unique identification problem for these systems, in ways ...
Ortega, Juan-Pablo, Yin, Daiying
core +3 more sources
Discontinuous linear Hamiltonian systems
Filomat, 2022 We study a discontinuous linear Hamiltonian system. We obtain a result on the existence and uniqueness of solutions. Later, we introduce the corresponding maximal and minimal operators for this problem and the self-adjoint extensions of such a minimal operator are established. Finally, we obtain an eigenfunction expansion.
PAŞAOĞLU, Bilender, TUNA, HÜSEYİN
openaire +3 more sources
Oscillation of linear Hamiltonian systems
Computers & Mathematics with Applications, 2002 The authors investigate oscillatory properties of the linear Hamiltonian system \[ x'=A(t)x+B(t)u,\quad u'=C(t)x-A^T(t)u, \tag{*} \] where \(A,B,C\) are \(n\times n\)-matrices with continuous entries for \(t\in [t_0,\infty)\), \(B,C\) are symmetric and the matrix \(B\) is supposed to be positive definite.
Meng, Fanwei, Sun, Yuangong
openaire +2 more sources
Lax Pairs for Linear Hamiltonian Systems [PDF]
Siberian Mathematical Journal, 2019 18 p., to appear in Sib.
Zheglov, A. B., Osipov, D. V.
openaire +3 more sources
Special exceptional point acting as Dirac point in one dimensional -symmetric photonic crystal
New Journal of Physics, 2022 We reveal that a special exceptional point (EP) can act as a Dirac point in a one-dimensional $\mathcal{P}\mathcal{T}$ -symmetric photonic crystal and prove it in detail using our extended first-principle theory.
Tiecheng Wang
doaj +1 more source