Stability radii for real linear Hamiltonian systems with perturbed dissipation
Sign Up to like & getrecommendations! Published in 2017 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-017-0654-0
Abstract: We study linear dissipative Hamiltonian (DH) systems with real constant coefficients that arise in energy based modeling of dynamical systems. We analyze when such a system is on the boundary of the region of asymptotic… read more here.
Keywords: linear hamiltonian; radii real; hamiltonian systems; stability radii ... See more keywords
On the crossing limit cycles created by a discontinuous piecewise differential system formed by three linear Hamiltonian saddles
Sign Up to like & getrecommendations! Published in 2024 at "Dynamical Systems"
DOI: 10.1080/14689367.2024.2391417
Abstract: ABSTRACT We study planar discontinuous piecewise differential systems formed by three linear Hamiltonian saddles separated by the non-regular line $ \Sigma =\{(x,y)\in \mathbb {R}^2: (y=0) \vee (x=0 \wedge y\geq 0)\} $ Σ={(x,y)∈R2:(y=0)∨(x=0∧y≥0)}. We prove that… read more here.
Keywords: limit; limit cycles; linear hamiltonian; piecewise differential ... See more keywords
Simultaneous attainability of central exponents of a linear Hamiltonian system under Hamiltonian perturbations
Sign Up to like & getrecommendations! Published in 2017 at "Differential Equations"
DOI: 10.1134/s0012266117040061
Abstract: We show that, for any linear Hamiltonian system, there exists an arbitrarily close (in the uniform metric on the half-line) linear Hamiltonian system whose upper and lower Lyapunov exponents coincide with the upper and lower… read more here.
Keywords: upper lower; system; attainability central; linear hamiltonian ... See more keywords
Lax Pairs for Linear Hamiltonian Systems
Sign Up to like & getrecommendations! Published in 2019 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446619040050
Abstract: We construct Lax pairs for linear Hamiltonian systems of differential equations. In particular, the Grobner bases are used for computations. It is proved that the mappings in the construction of Lax pairs are Poisson. Under… read more here.
Keywords: lax pairs; linear hamiltonian; pairs linear; hamiltonian systems ... See more keywords