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Theoretical Anatomy of Altermagnetic α-MnTe from Magnetism to Triple-resistance States
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The Hamiltonian Structure of the Bogoyavlensky Lattice
Journal of the Physical Society of Japan, 1999Summary: We study the Hamiltonian structure of the Bogoyavlensky lattice, which is an integrable differential-difference equation and is a generalization of the Volterra model. We construct the lattice \(W\) algebras by use of the dynamical variables of the Bogoyavlensky lattice, and also show the bi-Hamiltonian structure thereof.
Rei Inoue, Kazuhiro Hikami
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Semiclassical structure of Hamiltonians
Physical Review A, 1989The structure of few-body Hamiltonian matrices is studied in thesemiclassical regime. Given(/ital A/cflx ///sub 1/(/bold q/cflx //,/bold p/cflx //),/ital A/cflx ///sub 2/(/bold q/cflx //,/bold p/cflx //)), a pair of operators,it can be shown that, underquite general conditions, /ital A/cflx ///sub 2/ takes the form of a banded matrixin the ordered ...
, Feingold, , Leitner, , Piro
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THE STRUCTURES OF HAMILTONIAN MECHANICS
Russian Mathematical Surveys, 1977zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vinogradov, A. M., Kupershmidt, B. A.
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Dynamics of Dissipative Systems with Hamiltonian Structures
International Journal of Bifurcation and Chaos, 2021In this work, we study a class of dissipative, nonsmooth [Formula: see text] degree-of-freedom dynamical systems. As the dissipation is assumed to be proportional to the momentum, the dynamics in such systems is conformally symplectic, allowing us to use some of the Hamiltonian structure.
Xiaoming Zhang +4 more
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Journal of Mathematical Physics, 1990
The definition of a bi-Hamiltonian structure is reviewed, and it is shown that for systems of differential equations of the form ẋ=v(x) on even-dimensional manifolds, there always exists locally a bi-Hamiltonian structure. If this structure is ‘‘global,’’ then the system of equations is integrable.
Frauendiener, Jörg, Newman, Ezra T.
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The definition of a bi-Hamiltonian structure is reviewed, and it is shown that for systems of differential equations of the form ẋ=v(x) on even-dimensional manifolds, there always exists locally a bi-Hamiltonian structure. If this structure is ‘‘global,’’ then the system of equations is integrable.
Frauendiener, Jörg, Newman, Ezra T.
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On the Geometric Structure of Hamiltonian Systems with Ports
Journal of Nonlinear Science, 2009The geometric theory of Hamiltonian systems with ports is considered. It is shown that the state space of a mechanical system should be modeled by a manifold \(M\) endowed with a Dirac structure in a Courant algebroid. Conditions to guarantee the integrability of almost Dirac structures induced by closing ports or by power-conserving interconnections ...
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