Deriving a GENERIC system from a Hamiltonian system
Sign Up to like & getrecommendations! Published in 2024 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-025-02119-7
Abstract: We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian dynamics to obtain a macroscopic system which includes dissipative mechanisms. In particular, we study the thermodynamical implications concerning Hamiltonians, energy, and entropy and the induced geometric… read more here.
Keywords: hamiltonian system; system; energy; heat bath ... See more keywords
An asymptotic method for quasi-integrable Hamiltonian system with multi-time-delayed feedback controls under combined Gaussian and Poisson white noises
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3832-3
Abstract: In the present paper, we consider an approximate approach for predicting the responses of the quasi-integrable Hamiltonian system with multi-time-delayed feedback control under combined Gaussian and Poisson white noise excitations. Two-step approximation is taken here… read more here.
Keywords: quasi integrable; system; time; method ... See more keywords
A Linear Estimate of the Number of Limit Cycles for A Piecewise Smooth Near-Hamiltonian System
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00398-x
Abstract: In this paper, we study Poincaré bifurcation of limit cycles from a piecewise linear Hamiltonian system with a center at the origin and a homoclinic loop round the origin. By using the Melnikov function method,… read more here.
Keywords: limit cycles; limit; cycles piecewise; number limit ... See more keywords
Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104290
Abstract: Abstract In this paper we study analytically the existence of two families of periodic orbits using the averaging theory of second order, and the finite and infinite equilibria of a generalized Henon-Heiles Hamiltonian system which… read more here.
Keywords: heiles hamiltonian; order; hamiltonian system; periodic orbits ... See more keywords
Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1355
Abstract: Abstract The modelling and discretization of the boundary controlled 3D Maxwell’s equations as a port-Hamiltonian system is addressed. The proposed scheme, based on the Partitioned Finite Element Method (PFEM), originally proposed in Cardoso-Ribeiro et al.… read more here.
Keywords: equations port; discretization; maxwell equations; port hamiltonian ... See more keywords
Singular Hamiltonian system with several spectral parameters
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.01.028
Abstract: Abstract In this paper, the Weyl–Titchmarsh theory has been constructed for the singular 2n-dimensional (even order) Hamiltonian system with several spectral parameters. In particular, we consider that the left end point of the interval is… read more here.
Keywords: singular hamiltonian; several spectral; hamiltonian system; system several ... See more keywords
Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2020.132673
Abstract: Abstract We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Friedmann-Robertson-Walker Hamiltonian system in a rotating reference frame, which guarantee the existence of 12 continuous families of periodic orbits,… read more here.
Keywords: system; friedmann robertson; system related; related friedmann ... See more keywords
The dynamics of the relativistic Kepler problem
Sign Up to like & getrecommendations! Published in 2020 at "Results in Physics"
DOI: 10.1016/j.rinp.2020.103406
Abstract: Abstract We deal with the Hamiltonian system (HS) associated to the Hamiltonian in polar coordinates H = 1 2 p r 2 + p ϕ 2 r 2 - 1 r - ∊ 2 r… read more here.
Keywords: system; problem; angular momentum; hamiltonian system ... See more keywords
On the number of limit cycles for a perturbed cubic reversible Hamiltonian system.
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DOI: 10.1063/5.0211447
Abstract: This paper is concerned with the limit cycle problem of a cubic reversible Hamiltonian system under perturbation of polynomials of degree n with a switching line x=0. The upper and lower bounds of the number… read more here.
Keywords: reversible hamiltonian; limit cycles; cubic reversible; hamiltonian system ... See more keywords
Noether's symmetry and conserved quantity for a time-delayed Hamiltonian system of Herglotz type
Sign Up to like & getrecommendations! Published in 2018 at "Royal Society Open Science"
DOI: 10.1098/rsos.180208
Abstract: The variational problem of Herglotz type and Noether's theorem for a time-delayed Hamiltonian system are studied. Firstly, the variational problem of Herglotz type with time delay in phase space is proposed, and the Hamilton canonical… read more here.
Keywords: time delayed; time; delayed hamiltonian; herglotz type ... See more keywords
One-Dimensional Self-Organization and Nonequilibrium Phase Transition in a Hamiltonian System.
Sign Up to like & getrecommendations! Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.118.040601
Abstract: Self-organization and nonequilibrium phase transitions are well known to occur in two- and three-dimensional dissipative systems. Here, instead, we provide numerical evidence that these phenomena also occur in a one-dimensional Hamiltonian system. To this end,… read more here.
Keywords: system; organization nonequilibrium; one dimensional; nonequilibrium phase ... See more keywords